{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "8cf0fe88-562a-4454-8107-da26d804d594",
   "metadata": {},
   "source": [
    "Chapter 16\n",
    "# 强连通、弱连通\n",
    "Book_6《数据有道》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "c95f0e18-d809-459f-8c5a-acd8aa670d68",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import networkx as nx\n",
    "import random"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "71614a15-8824-4394-a3dd-706a049d7974",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 创建一个包含5个节点的无向完全图\n",
    "G_undirected = nx.complete_graph(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "aa2f0af2-b141-498b-8fff-102dcad1be0f",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 创建一个新的有向图\n",
    "G_directed = nx.DiGraph()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "ad6e5309-ebcd-428c-af28-f3b79e1f7782",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 为每对节点随机选择方向\n",
    "random.seed(8)\n",
    "for u, v in G_undirected.edges():\n",
    "    if random.choice([True, False]):\n",
    "        G_directed.add_edge(u, v)\n",
    "    else:\n",
    "        G_directed.add_edge(v, u)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "05d3fef2-6f04-4c8b-9f16-fbe865b662a5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 可视化图\n",
    "plt.figure(figsize = (6,6))\n",
    "pos = nx.circular_layout(G_directed)\n",
    "nx.draw_networkx(G_directed, \n",
    "                 pos = pos,\n",
    "                 with_labels = True,\n",
    "                 node_size = 188) \n",
    "plt.savefig('完全图，设定边方向.svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "0a9e91af-ee8c-4c94-8945-673da9ea09e8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "False"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nx.is_strongly_connected(G_directed)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "2ebb27f1-f5c0-43e8-a64b-b2ffc3c867ca",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nx.is_weakly_connected(G_directed)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "3b1d8166-c3f7-4bb0-83d7-e782f30c65ea",
   "metadata": {},
   "outputs": [],
   "source": [
    "list_strongly_cc = sorted(nx.strongly_connected_components(G_directed), key=len, reverse=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "aac9adfe-7939-462c-8c21-8ff42149bae4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[{0, 1, 2, 3}, {4}]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "list(list_strongly_cc)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "49235bc1-2e20-4e8f-9a9c-4feca9d9c1df",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 自定义函数将节点序列转化为边序列 (闭环)\n",
    "\n",
    "def nodes_2_edges(node_list):\n",
    "    \n",
    "    # 使用列表生成式创建边的列表\n",
    "    list_edges = [(node_list[i], node_list[i+1]) \n",
    "                  for i in range(len(node_list)-1)]\n",
    "    \n",
    "    # 加上一个额外的边从最后一个节点回到第一个节点，形成闭环\n",
    "    closing_edge = [(node_list[-1], node_list[0])]\n",
    "    list_edges = list_edges + closing_edge\n",
    "    return  list_edges"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "5f05fa03-62de-4c54-a01a-4faecae6d357",
   "metadata": {},
   "outputs": [],
   "source": [
    "list_cc = list(list_strongly_cc[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "8607f759-5705-440e-9920-d9fcad339c81",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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pUmrHNGgTJkxg586dbN++XZXSiMRWaepUDh88SCVfX4IWL8aufXu1IwnxWTKQhV57+/Qpl6ZNI3rTJkrcuEFJnY5IjYYrRYoQ6e6OXZ8+VMiVS+2YKcL+/fv59ddfGTZsGLVr11Y7TqKpdPQo1ywsyN65M08qVyZH8eJqRxLik2QgC70TeeUKVyZPJs2uXZQMDaUCcCdNGi7b2xPWpg227dtTWUoEEtXDhw9p2rQpP/zwAyNGjFA7TqJKmykTZgcOkKZiRe44O2P66JGUUAi9JGvIQi/c3rmTQ3XrcjFLFrLb2OC8bBkZXr/mdO3a3N6+nUIxMbiePk2prl3lxTSRxcbG0rhxY9KmTcvatWv1ojQisVmUL0/IuHHYP3nC0Zo11Y4jxCfJO2ShiviYGIKXLOHp8uUUOH+ewjExmAOXzM057uZGcW9vStnZqR0zVRg4cCAnT57Uu9KIxOYwaBCH9u6lyoEDUkIh9JIMZJFsoiIjuTR1KjG+vpS4eZNSikKERsPVokWJ8PCgZJ8+VDQzUztmquLr68u0adOYPn26XpZGJLYqu3dzNk8eCg8fzsPq1cmbCp6zMBwykEWSiggK4uqUKaTdtYtS4eFUBG6lTUtwhQrkaNMGmzZtZD1YJdevX/9YGtGzZ0+14yQLrbExRY4fJ8ramuc1apAzLIy0mTKpHUsIQNaQRSJTdDpubdvGodq1uZQ5MzlKlsRpxQpM3r7lZN263Nm1iyLv3uF64gQlO3WS9WCVREVF4e7uTp48efS+NCKxZbey4uXixRR784YAJye14wjxkbxDFt8tPiaGoIULebZ8OZYXL1IkNvb9erCFBf6NG1PC25vS1tZqxxR/+VAacevWLU6ePGkQpRGJzaZ16/clFBs24N+zJ04zZ6odSQgZyOLbvHn8mEs+PsT5+WF9+zalFYXHWi1XixV7vx7cuzeO2bOrHVN8wqJFi1i5ciWrVq3CLhWfOFd57VqOnzhB6VmzuPnjj1JCIVQnA1kkWPj581ybOhWT3bsp9fgxjsDNdOm45OiIWbt22LRqRRVj+ZHSZ2fPnqVHjx507tyZFi1aqB1HVRqtljKnThFaoAAaDw9eh4SQSUpHhIrk1VN8lqLTcevPP3kwZw5m/v7YvXmDGXAxa1ZO1K9PoZ49KVq9OkXVDioS5ENpRKlSpZg+fbracfRCxly50G7eTM66dblYsSKV7tyREgqhGvnJE/8QFx3N+RkzOOTgwL106SjasCHl9u7llakpxzp04MX165R9/hzXLVuwrF5d7bgigXQ6Ha1ateLFixcGXxqR2ArXqcOl3r1xunePI02aqB1HpGLyDlnw6tEjgnx8iP/jD2zu3KGMohCm1XK9eHEeN2lCyZ49qWRqqnZM8R0mTpzItm3b2L59OwULFlQ7jt5xmjbtfQnFpk0ELVmCXbt2akcSqZAM5FQqLDCQ61OmkGHvXkpGRlIJuG5iwkUnJ3J16ECJ5s0xl/XgFOHgwYMMGzaMoUOHUqdOHbXj6K1Kx469L6Ho1IknLi5SQiGSnbziphKKTseN33/n0bx55AoIwCYqCjPgkqkpJxo2pFCvXhRzdaWY2kFFonr48CFNmjShWrVqjBo1Su04ei1tpkzk2LePtJUqSQmFUIWsIadgsVFRnPPx4XDZstxPl45i7u447N/Pi+zZOda5M69u3qTss2dU/f13Cri6qh1XJLIPpRFp0qRJsaURiS1PxYr/X0JRq5bacUQqI++QU5iXDx4Q5OOD8scf2IaEUFZRCNVquWFtzeOmTSnZoweVsmRRO6ZIBoMGDeLkyZMcPnyYXNIZnWAOgwZxaM8eqhw8yNlx43AYMkTtSCKVkIGcAoSePs11Hx8y7ttHqSdPcAKumZhwzsUF844dKdGsGRZyKUeqsnnzZqZOncq0adNwkttDfrUqe/Zw1sKCwsOG8ah6dfJUrKh2JJEKyEA2QIpOx/VNmwhdsIDcJ05g/fbt+/XgbNkIcHOjSO/eFHdxQU5JSZ1u3LhBmzZtcHd3p1evXmrHMUhaY2OK+Pvz1tqaZ9WrYyYlFCIZyEA2ELFRUVyaPZtXq1dT5PJlisfHYw4E58+Pf4MG2Pbrh72lpdoxhcqioqJwc3PD3NycJUuWpKrSiMSW3cqK4EWLKNa2LQHOzlS9cEHtSCKFk4Gsx16EhBDs4wNbtmB77x72wEMjI27a2BDerBklu3fHSX5rF39RFIWuXbty8+ZNTp48SRY5V+C72bZpw+GdO6m6aZOUUIgkJwNZzzwMCODm1KlkOnCAUk+f4gRcSZ+ec66umHfsSPHGjckr68HiExYvXsyKFStYuXIlJUuWVDtOilFl/XqOnzpF6VmzuFWzJkXq1VM7kkihZCCrTNHpuLpuHeGLFmF+6hQl3r4lJ3AxRw78PTwo2rcv1o6OSHmh+C+BgYH06NGDTp064eXlpXacFEWj1VL6xAnCLS3BzU1KKESSkYGsgpjXr7k0axav167F6soVrOPjyQMEWVq+Xw/29qZcgQJqxxQG4tmzZ7i7u2NnZyelEUkkk7k54X5+5P75Zy46OlLp9m0poRCJTgZyMnl+5w7BU6ag+fNP7O7fxwF4YGTEdTs7wlq0oGTXrjhnyKB2TGFgPpRGPH/+nAMHDmBiYqJ2pBSrSL16H9eRDzdrRtX169WOJFIYGchJ6MGxY9yaOpXMhw5R8tkznIHLGTIQ+MMPWHTuTDE3N/LJb9niO0yaNIk///yTbdu2SWlEMnCaMYPDhw5RacMGgmvVwrZNG7UjiRREBnIiUuLjubJmDY8XLSLPmTMUi45+vx5sZkZAkyZY9e2LTfny2KgdVKQIBw8eZOjQoQwZMoS6deuqHSfVqHT8ONfNzTHt0IGnLi5kt7JSO5JIIWQgf6d3L19yacYMotavx+rqVWx0Oiw0GoILFuRJw4bY9u1L+Xz51I4pUphHjx7RpEkTXF1dGT16tNpxUpW0mTKRbe9eTJydueXkhGloKFppRhOJwKB/im7tOUrEvCWkCQvFOOo1cRkyEWtuQc4u7ShSs3KSHffZrVsET56M0bZt2D18SDngnrEx10uXJszLC7tOnXCR9WCRRD6URhgbG7Nu3TopjVBB3kqVOPvbbzgMGcKRmjVxPXBA7UgiBTC4gRwTFc3FqQvJsng+xUKuUEBrhFbRYaQoxGs06DRa0vyxguuW1rxs35lSfTuSNsPnT3RRFIXw8HDMdTpwd4f27aFt23897t6hQ9yePp2shw9T8vlzXICgjBk5++OP5O3alaINGlBA1oNFMhgyZAgBAQFSGqEyh8GD/7+EYvx4HAYPVjuSMHRKArx48UIBlBcvXiTk4UnmWcgj5WpBW0UBJQCUbqDYgJIBlPygeIByDRQFlDiNVlFAuVLQVnkW8uiT+4uPj1c6dOigFNJqlXd58igKKErZsu+3xcYqlxYvVg46OSnX06VTFFDegnIyZ07lcPPmSujZs8n51IVQFEVRNm/erACKj4+P2lG+m7W1tdKnTx+1Y3yX+NhY5XSOHEqkRqM8PHFC7ThCTyV0hhrMO+RnIY9441CBIk9DAZgCHAc8gFJAGDAbsAdOAHaKDoCiIVcIsy8PgacxLWDxcX9xcXG0atWK02vXcgwwCgt7v+HcOU4ULUrBO3ew0+l4qtFwuVAhIhs1oqS3NxXkhgBCJTdu3KB169a4ubnRp08fteMI3pdQFDp+nGhbW57++CNmoaFSQiG+mUF8xhoTFc1j15qYPw3F+K9B2xcIAWYC7YFhwFEgDpjwt+81VnSYPw0lvGoNYqKiAXj37h3u7u5cXLuWACA3YKTTffweqzt3uFq2LBdmziRLVBQut25RafJkuTuPUE1UVBTu7u7kzp2bpUuXSmmEHslRvDjPFiyg+OvXBLi4qB1HGDCDGMgXpy6k+N3gj8MYwAlI+z+PswJsgSv/83VjRUfxu8FcnLaIqKgoqlevzsMtWwgEsgN/PyVG0WjI/uOPuJ45Q+kePTCWGy0IlSmKQrdu3bhx4wZ+fn5SGqGH7Nq1I8DdnaoXLhDQu7facYSBMoiBnGXxfOIT8I5AAcIBs09si9doybx4Ps7Ozhw/fhxj4Anw9u/fr9GgATQHDsCbN4kRXYjvtnTpUpYvX878+fOlNEKPVdmwAf8CBbCbMYPbO3aoHUcYIL1fQ7655wjFQv73Pe+nrQEeAp+6KtNI0VH87mV6/zoev/z5efXqFaWCg4mIiCAX799Ze5UpQ5sKFeDFC0j7v++/hUh+586do1u3bnTs2JGWLVuqHUf8B41WS6mTJwm3tERp1Ig3ISFkzJ1b7VjCgOj9QI6ctxRLrRFpdPH/+birQDegEtDqM4+J1RpRPOgaW7du/fi1Z8+ecfnyZYKDg7EpXRoqVkys6EJ8l+fPn+Pu7o6trS0zZsxQO45IgA8lFOY//8x5R0ecbt2SEgqRYHr/k5ImLBTt39aOPyUMqAtkBXz555rw32kVhTRhof/4WrZs2XB2dqZjx45UlGEs9MSH0oinT5/i6+srpREGpEi9elzs0QPnu3c52ry52nGEAdH7gWwc9RojRfns9hdAbeA5sAvI8x/7MlJ0GL95laj5hEgKkydPZuvWraxatYpChQqpHUd8JaeZMzlSsiQV16/n8ooVascRBkLvB3JchkyfPaErGvgZuA5sgy+WNsRrtMRlzJy4AYVIZIcOHWLIkCEMHjyYevXqqR1HfKOKx45xI2NGsrRrx9MbN9SOIwyA3g/kWHMLdJp/x4wHGgMBwCberx1/iaLRcONdDNu3b+ft27df/gYhklloaChNmjShatWqUhph4NJlyUK2vXtJr9Nxy9kZXVyc2pGEntP7gZyzS7tPntDlDWzl/cfVT4HV//PnU4x18ax5+5J69ephZmZGo0aNWLFiBZGRkUmUXoiEi4uLo0mTJmi1WtatW4exNAgZvLyVKnFnzBgcIiI4UquW2nGEntP7gVykZmWuW1r/62Pr83/975+A1yf+/K94jZZrBW3YGnyay5cv8+uvvxIWFkabNm3InTs3VapUwcfHhxvy0ZJQyZAhQzh+/DgbNmwgt1wuk2KUGzqUI1WrUuXAAQInTlQ7jtBjej+QAV627/yvE7sO8f5GIJ/787+MFB2v2ndGo9FgbW3NoEGD8Pf3JzQ0lIULF2JqasqwYcMoVqwYNjY2DBo0iICAAHS6/z7DW4jE8McffzB58mQmTpxI5cpJVx0q1FF5zx4Cc+SgwODBhJ4+rXYcoac0ivIfpzD/5eXLl2TNmpUXL16octu+mKho7tiWo0jIlX/cPjOh4jRablpaUzj4zH9WMUZFRbF37162bNnCtm3b3t80JFcufv75Zxo0aMCPP/5I+vTpv+epCPEvN2/exMHBgR9//BFfX99Uc59qGxsbfvrpJ6ZOnap2lGTx5No13tna8iR9ekqEhZEmY0a1I4lkktAZahDvkNNmMCH34b2EZbcg7hMneP2XOI2W0OzmmB/e+5/DGCBDhgw0aNCApUuXEhoayrFjx2jdujXHjh2jfv365MiRg4YNG7Js2TIeP378PU9JCADevn2Lu7s7uXLlktKIFC5H8eI8nT+f4q9f4y8lFOITDGIgA5gWsCBT4GluWVoD79eE/8uH7RfMCtDVzppMeXJ+1fGMjIxwdnZm4sSJXL16latXrzJq1CgiIyNp164d5ubmuLi4MGnSJK5du/ZtT0qket27d+f69ev4+fmRNWtWteOIJGbXvj0Bbm5UPX+eAKnQFP/DYAYyvB/KhYLPcGbsTG5algDe3w7zw/CN12iJ1b6/T9dNyxKcGTuT56sWsOPoQYYPH/5dxy5evDj9+/fn2LFjhIeHs2TJEszMzBg5ciQlSpSgePHiDBgwgOPHjxMf/9+3+RQC3pdGLF26lHnz5lGqVCm144hkUmXjxvclFNOnc2fnTrXjCD1iEGvIn3Nrz1Ei5i8l5vZN3oWHY1qwIPEWecnZuS1Fav7/iTETJ05k0KBBbN26lZ9//jlRM7x9+5Z9+/axdetW/vzzT8LDw8mZMyf16tWjQYMG1KhRgwwZMiTqMYXhO3/+PJUqVaJFixYsWrRI7TiqSG1ryH/3OiyMcEtLdBoNee7dI2OuXGpHEkkooTPUoAfyB7/Pn8+ZLl0Y/PIlmTL/+05ciqLQsGFDjhw5wtmzZylcuHCS5NDpdJw8eZKtW7eyZcsWrly5gomJCTVq1KB+/fr8/PPPcjmL4Pnz5zg4OJA1a1b8/f1T7X2qU/NABri5dSvmDRpwoWBBKaFI4VLUSV1fkvvyZX6Dz3YYazQaVqxYQfbs2fHw8CA6OjpJcmi1WipVqsT48eO5fPky169fZ+zYsbx48YJOnTphYWGBk5MTEyZM4MqVKyTgdyGRwiiKQuvWraU0QlC0fn0uduv2voTC61N3TxCpTYoYyAlhamqKr68vwcHB9OrVK1mOaWVlhbe3N4cPHyY8PJxly5ZhYWHB2LFjsbGxoVixYvTr148jR44QJ7fVSxUmT57Mli1bWLlyZZJ9UiMMh9Ps2Ryxs6Pi2rVcXrlS7ThCZalmIAOULVuWOXPmsHDhQlYm8w+/mZkZrVq1ws/Pj8jISLZt28YPP/zAmjVrqFq1Kubm5rRu3ZrNmzfz+vXrZM0mksfhw4cZMmQIgwYNSvRzGYThqnj8+PsSirZteXbzptpxhIpS1UAGaNu2La1bt6Zz585cunRJlQwmJibUrVuXBQsW8PDhQ06ePEmnTp04c+YMbm5umJmZUbduXRYuXEhoaOiXdyj03ofSiMqVKzNmzBi14wg9ki5LFkx37yaDTsdNJycpoUjFUt1A1mg0zJkzBysrK9zc3Hjx4oWqebRaLRUqVOC3334jKCiImzdvMn78eKKioujatSt58uShYsWKjBs3juDgYFl3NkAfSiM0Go2URohPyufszO3Ro9+XUPz0k9pxhEpS3UCG93fk8vPzIzw8nLZt2+rVkCtSpAh9+vTh4MGDhIeHs2rVKgoUKMD48eOxs7OjaNGi9O3bl0OHDsm6s4EYOnTox9IIc3NzteMIPVVu2DCOVKlClf37CZw0Se04QgWpciADFC1alOXLl7N582amTZumdpxPypEjBy1atGDTpk1ERkayc+dOatasyYYNG6hWrRq5cuXCy8sLX19fXr16pXZc8Qlbtmxh0qRJTJgwQUojxBdV3rv3fQnFoEFSQpEKpdqBDPDLL7/Qr18/BgwYwLFjx9SO85/SpUvHTz/9xLx583jw4AGnT5+mW7duXLx4EQ8PD8zMzKhduzbz58/n4cOHascVwK1bt2jVqhW//PIL3t7eascRBsAobVoKHj1KjFZLRPXqxEZFqR1JJKNUPZABxo0bh5OTE40bNzaYwgiNRkO5cuUYM2YMFy5c4Pbt20yaNImYmBi6d+9Ovnz5KF++PGPHjuXixYt69ZF8avGhNCJnzpwsW7ZMSiNEgplZW/Nk7lysX72SEopUJtUP5DRp0rB+/Xri4+Np2rSpQd6HulChQvTq1Yv9+/cTERHBmjVrKFy4MJMmTaJ06dIULlyY3r17c+DAAWJjY9WOmyr06NGDq1ev4uvrK6UR4quV7NgR/0aNqHruHAHy6UqqkeoHMkCePHlYv349hw4d+u4SCrVly5aNZs2asWHDBiIiIti9ezd16tTBz8+P6tWrkytXLpo3b87GjRt5+fKl2nFTpGXLlrFkyRLmzp1L6dKl1Y4jDFSVTZvwz58fu6lTubNrl9pxRDKQgfwXV1dXfvvtN8aNG8e2bdvUjpMo0qVLR82aNZkzZw737t3j7Nmz9OrVi8uXL9O4cWPMzMyoVasWc+fO5f79+2rHTRHOnz9P165dadeuHW3atFE7jjBgGq2WkidO8DhtWuIaNuSNgSypiW8nA/lvBgwYwM8//4yXlxd37txRO06i0mg02NvbM3LkSM6dO8fdu3eZOnUqOp2OXr16UaBAARwcHBg1ahTnz5+Xdedv8Pz5c9zd3SlRogSzZs1SO45IATLnyYOycSN53r3jvKMjik6ndiSRhGQg/41Wq2XFihVky5YNd3f3JCuh0AeWlpZ0796dvXv3EhERwbp16yhWrBhTp06lbNmyFCxYkB49erBv3z5Zd04ARVFo06YNkZGR+Pn5kT59erUjiRSiaIMGnO/aFec7dzjWsqXacUQSkoH8P7Jly/axhKJ3795qx0kWpqamNGnShHXr1hEREcHevXupX78+W7dupUaNGuTMmZOmTZuyfv16nj9/rnZcveTj48Mff/whpREiSTjPmcMRW1sqrFnDlVWr1I4jkogM5E+wt7dn1qxZLFiwgFWp7Ic/bdq0/Pjjj8yaNYu7d+9y7tw5+vbty/Xr12natCk5c+akRo0azJo1i5CQELXj6oUjR44waNAgBg4cSP369dWOI1Koiv7+3MyYkcxt2vDs1i2144gkIAP5M9q3b0+rVq3o1KmTaiUUatNoNJQpU4bhw4dz9uxZ7t27x4wZM9BqtXh7e1OwYEHKli3LiBEjCAwMTJXrzmFhYTRu3BgXFxfGjh2rdhyRgqXLkoWsH0ooKlWSEooUSAbyZ2g0GubOnfuxhEIuEYL8+fPTtWtXdu/eTWRkJBs2bMDW1paZM2fi4OBAgQIF6NatG3v27CEmJkbtuEnuQ2kEwPr166U0QiS5fM7O3Bo58n0JRe3aascRiUwG8n/IkCEDvr6+ellCobYsWbLg6enJ6tWrefz4Mfv378fNzY0dO3ZQq1YtzMzMaNy4MWvWrOHZs2dqx00Sw4YN49ixY1IaIZJV+eHDOVK5MpX37SNw8mS144hEJAP5C6ysrFi2bBl+fn7MmDFD7Th6KU2aNPzwww9Mnz6d27dvc+HCBQYMGMDt27dp0aIFuXLlonr16syYMYO7d++qHTdRbN26lYkTJzJ+/HiqVKmidhyRylTet4/z2bNTYOBAQs+cUTuOSCQykBOgUaNGeHt7079/f44fP652HL2m0WgoVaoUw4YN4/Tp0zx48IBZs2aRLl06BgwYQKFChShVqhS//vorZ86cQWeA11Xevn2bli1b0rBhQ/r166d2HJEKGaVNi+WxY8RqNET88IOUUKQQMpATaPz48Tg6OuLp6WkwJRT6IG/evHTu3JkdO3YQGRnJpk2bKFOmDHPnzqV8+fLkz5+fLl26sHPnTt69e6d23C+Kjo7G3d0dMzMzKY0QqjKztiZy3rz3JRRS7ZkiyEBOoDRp0rBhwwbi4uJo1qyZQZZQqC1z5sy4u7uzcuVKwsPDOXToEI0bN2bPnj3UqVMHMzMzPDw8WLVqFU+fPlU77if16NGDK1eu4Ovri6mpqdpxRCpXsmNH/H/5haqBgZyQT2sMngzkr/ChhOLgwYOMGDFC7TgGzdjYmKpVqzJ16lRu3rxJUFAQgwcP5t69e7Rs2ZJcuXLh6urKtGnTuKUn11wuX76cxYsXM2fOHMqUKaN2HCEAqOLri3/+/Nj4+HBn926144jvIAP5K1WrVo2xY8fy22+/sX37drXjpAgajQZbW1uGDBnCyZMnefToEXPnziVTpkwMHjyYokWLYmdnx9ChQzl58qQq684XLlygS5cutG3blrZt2yb78YX4nA8lFJFp0xLXoAFRkZFqRxLfSAbyNxg4cCD16tXDy8srxZw1rE8sLCzo2LEj27ZtIzIyks2bN1OuXDkWLFiAo6Mj+fLlo1OnTmzfvj1Z7jf+4sWLj6URs2fPTvLjCfG1MufJg27DBvK8e0dgxYpSQmGgZCB/A61Wy8qVKzE1NcXDw8MgTkYyVJkyZeKXX35h+fLlhIWFceTIEZo1a8aBAweoV68eZmZmNGrUiBUrVhCZBO8MFEWhbdu2RERE4OvrK6URQm8VbdiQ850743L7NsdatVI7jvgGMpC/0YcSikuXLqWaEgq1GRsbU7lyZaZMmcL169e5fPkyw4YNIywsjDZt2pA7d26qVKmCj48PN27cSJRjTp06lc2bN7N8+XKKFCmSKPsUIqk4z5vHERsbKqxezZU1a9SOI76SDOTvYG9vz8yZM5k/fz6rV69WO06qotFosLa2ZtCgQfj7+xMaGsrChQsxNTVl2LBhFCtWDBsbGwYNGkRAQMA3rTsfPXqUgQMH0r9/fxo2bJj4T0KIJFAxIIBbGTKQqXVrnt++rXYc8RVkIH+nDh060LJlSzp27EhQUJDacVKt3Llz065dO7Zu3UpkZCR//PEHjo6OLF26FCcnJywsLGjfvj1//vknb9++/eL+PpRGODs7M27cuGR4BkIkjnRZspBl924yxcdzXUooDIoM5O+k0WiYN28eRYsWxc3NjVevXqkdKdXLmDEjDRo0YOnSpYSGhnLs2DFatWrFsWPHqF+/Pjly5KBhw4YsW7bskzd5iYuLo2nTpuh0OimNEAYpn4sLN0eMoMLjxxypW1ftOCKBZCAngg8lFKGhobRr105KKPSIkZERzs7OTJo0iatXr3L16lVGjRpFZGQk7dq1w9zcHBcXFyZPnsy1a9cAGD58OEePHmXDhg1YWFio/AyE+DblR4zgkLMzlffs4dzUqWrHEQkgAzmRFCtWjOXLl7Np0yZmzpypdhzxGcWLF6d///4cO3aMsLAwlixZgpmZGSNGjKBEiRLky5eP8ePH07FjR1xcXNSOK8R3qXzgABeyZSNfv36EnT2rdhzxBTKQE1GjRo3o27cv/fr1w9/fX+044gty5cpFmzZt+OOPP3jy5AkLFy4kIiKCtGnTMm/ePCwsLGjbti1btmwhSm7eLwyQUdq05D96lDiNhsdSQqH3ZCAnsgkTJlCxYkUpoTAwGo2G+fPnky9fPkJDQ/H396ddu3acOHGChg0bkiNHDurXr8+SJUsIDw9XO64QCZbT1pbIuXOxfvkSf6kK1WsykBPZhxKK2NhYKaEwID179iQ4OBhfX1+yZ89OpUqVGD9+PJcvX+b69euMHTuW58+f07FjRywsLHBycmLChAlcuXJFzhkQeq9kp074N2xI1bNnOTFggNpxxGfIQE4CefPmZd26dRw8eJBRo0apHUd8wYoVK1i0aBFz5syhbNmy/9puZWWFt7c3R44cITw8nGXLlmFubs6YMWOwsbGhePHi9OvXj6NHj8ovYEJvVfHzIyBfPqwnT+bu3r1qxxGfIAM5ifzwww+MGTOGMWPGsHPnTrXjiM+4ePEiXbp0oU2bNrRr1+6LjzczM6NVq1Zs3ryZJ0+esG3bNqpVq8aaNWuoUqUKuXPnpnXr1mzevJnXr18nwzMQImE0Wi22AQE8TZOGmPr1pYRCD8lATkKDBg2iXr16tGjRgpCQELXjiP/xoTTCysqKOXPmfPX3m5iYULduXRYsWMDDhw85efIknTp14syZM7i5uWFmZka9evVYuHAhoaGhSfAMhPg6WfLlI3bdOvJFRxPo6CglFHpGBnIS0mq1rFixgixZsuDu7i4lFHrkQ2lEeHg4fn5+310aodVqqVChAr/99htBQUHcvHmT8ePH8/r1a7p06UKePHmoWLEi48aNIzg4WNadhWqKubkR2KkTLrducax1a7XjiL+RgZzEsmfPzqZNm7h48SJ9+vRRO474y7Rp0z6WRhQtWjTR91+kSBH69OnDoUOHePz4MStXrqRAgQKMHz8eOzs7rKys6Nu3L4cPHyZObm0okpnL/Pkcsbam/KpVUkKhR2QgJ4Ny5coxc+ZM5s2bxxr54VfdsWPHGDBgAP369eOXX35J8uPlyJEDLy8vNm3aREREBDt27KBGjRps2LABV1dXcufOTcuWLfH19ZVbr4pkU8Hfn9sZMpCxdWue37mjdhyBDORk07FjR7y8vOjYsSPBwcFqx0m1wsPD8fT0xMnJifHjxyf78U1MTKhduzbz5s3j/v37nD59mq5du3LhwgU8PDwwMzOjdu3azJ8/n0ePHiV7PpF6mJiakmX3bjLHx3NNSij0ggzkZPLhxhOFCxeWEgqVxMfHfyyN2LBhg+qlEVqtlnLlyjFmzBguXLjA7du3mTRpEjExMXTv3p28efNSvnx5xo4dy8WLF2XdWSS6fC4u3Bw+nIrh4RypV0/tOKmeDORklCFDBvz8/Hj06BHt27eXF9hkNnz4cA4fPsz69ev1sjSiUKFC9OrVi/379xMREcGaNWsoXLgwkyZNonTp0hQuXJjevXtz4MABYmNj1Y4rUojyI0dyyMmJyrt3c37aNLXjpGoykJNZsWLFWLp0KRs3bmTWrFlqx0k1tm3bxrhx4/jtt99wdXVVO84XZcuWjWbNmrFhwwYiIiLYvXs3derUwc/Pj+rVq5MrVy6aN2/Oxo0befnypdpxhYGrfPAgF7JlI2+/foSfO6d2nFRLBrIK3N3d6d27N97e3gQEBKgdJ8W7c+cOXl5e/PzzzwwwwNsGpkuXjpo1azJnzhzu3bvH2bNn6dmzJ5cvX6Zx48aYmZlRq1Yt5s6dy/3799WOKwzQxxIKIMzVVUooVCIDWSWTJk2iQoUKeHp6EhERoXacFCs6Ohp3d3eyZcvGihUr0GoN+0deo9Fgb2/PqFGjOHfuHHfv3sXHxwedTkevXr0oUKAADg4OjB49mvPnz8uyiEiwnLa2RMyejc3LlxyvWlXtOKmSYb86GbA0adKwceNG3r17R/PmzeUeyEmkV69eBAcH4+fnR7Zs2dSOk+gsLS3p0aMHe/fuJSIignXr1lGsWDF8fHwoW7YsBQsWpEePHuzbt0/WncUXlerSheMNGuB65gwnBg5UO06qIwNZRR9KKPbv38/o0aPVjpPirFy5koULFzJ79uxPlkakNKampjRp0oR169YRERHB3r17qV+/Plu3bqVGjRrkzJmTpk2bsn79ep4/f652XKGnqm7eTEDevFhPmiQlFMlMBrLKqlevzujRoxkzZgy7du1SO06KcenSJTp37kzr1q0TVBqR0qRNm5Yff/yRWbNmcffuXc6dO0efPn24fv06TZs2JWfOnNSoUYNZs2bJfdbFP2i0WmxPnOBpmjS8q1+ft0+eqB0p1ZCBrAcGDx5M7dq1ad68ubw4JoKXL1/i5ub2sTRCo9GoHUlVGo2GMmXKMGLECM6ePcu9e/eYMWMGWq0Wb29vChYsSNmyZRkxYgSBgYGy7iw+llDkj47mrKMjyM9EspCBrAe0Wi2rVq0ic+bMeHh4SAnFd/h7aYSvry8ZMmRQO5LeyZ8/P127dmX37t1ERkayYcMGbGxsmDlzJg4ODhQoUIBu3bqxZ88eYmJi1I4rVFLMzY3ADh1wuXmTo23aqB0nVZCBrCeyZ8+Or68vFy5coG/fvmrHMVjTp0/Hz8+PZcuWYWVlpXYcvZclSxY8PT1Zs2YNjx8/Zv/+/bi5ubFjxw5q1aqFmZkZjRs3Zu3atTx79kztuCKZuSxcyJESJSi/YgVX161TO06KJwNZj5QrV44ZM2Ywd+5c1q5dq3Ycg3P8+HEGDBiAt7c3jRo1UjuOwUmTJg0//PAD06dP5/bt21y4cIEBAwZw+/ZtmjdvTq5cuahevTozZszg7t27ascVyaRCQAB30qcnfcuWvJAltSQlA1nPdOrUiRYtWtChQwcuX76sdhyD8fjxYzw9PXF0dFSlNCKl0Wg0lCpVimHDhnH69GkePHjArFmzSJs2LQMGDKBQoUKUKlWKX3/9lTNnzqCTovsUy8TUlEy7dpE1Pp6rjo5SQpGEZCDrmQ8lFIUKFZISigSKj4+nWbNmxMXFsWHDBtKkSaN2pBQnb968dO7cmZ07dxIZGcmmTZsoU6YMc+bMoXz58uTPn58uXbqwc+dOOQciBcpfpQrXhw2jYlgYR37+We04KZYMZD2UMWNG/Pz8ePDgAR06dJCzXr9gxIgRHDx4kPXr15MnTx6146R4mTNnxt3dnZUrV/L48WMOHjxI48aN2bNnD3Xq1MHMzAwPDw9WrVrF06dP1Y4rEkmF0aM5VKkSlXft4vz06WrHSZFkIOup4sWLs3TpUjZs2MDs2bPVjqO3tm/fzm+//cbYsWOpVq2a2nFSHWNjY1xdXZk6dSo3b94kKCiIwYMHc+/ePVq2bEmuXLlwdXVl2rRp3L59W+244ju5HDjARVNT8nh7E37+vNpxUhwZyHrMw8ODXr164e3tzYkTJ9SOo3fu3r2Ll5cX9erVY6Dc5k91Go0GW1tbhgwZwsmTJ3n06BFz584lY8aMDB48mCJFimBnZ8fQoUM5efKkfPJjgIxNTMh39Cg6INTVlbjoaLUjpSgykPXcpEmTKFeuHB4eHkRGRqodR298KI0wNTVl5cqVBl8akRJZWFjQsWNHtm/fTmRkJH5+fpQrV44FCxbg6OjIzZs32bdvH9u3bydaXtgNRk47Ox7PnIndixccq1JF7TgpiryK6bm0adOyceNGoqOjpYTib/r06UNQUBC+vr4psjQipcmUKRONGjVi+fLlhIWFceTIEbJkycL9+/epV68eZmZmNGrUiBUrVsgvngagVLduHKtXD9fTpzk5eLDacVIMGcgGIF++fKxbt469e/cyZswYteOobvXq1cyfP59Zs2Zhb2+vdhzxlYyNjalcuTK5c+emdevWXL58mWHDhhEWFkabNm3InTs3VapUwcfHhxs3bqgdV3xG1S1bOJEnDyUmTCBk/36146QIMpANxI8//sjo0aMZPXp0qi6hCAoKomPHjrRs2ZL27durHUd8J41Gg7W1NYMGDcLf359Hjx6xYMECTE1NGTZsGMWKFcPGxoZBgwYREBAg1zvrEY1Wi3VAAM/SpCG6Xj3eyhn1300GsgEZMmQIP/30E82bN+fevXtqx0l2H0ojihYtyrx581J9aURKZG5uTvv27dm6dSuRkZH8/vvvODo6smTJEpycnLCwsKB9+/b8+eefvH37Vu24qV7WAgWIWbuW/NHRnHF0VDuOwZOBbEA+lFBkypQJDw+PVHXjf0VRaNeuHaGhoVIakUpkzJiRhg0bsnTpUsLCwjh27BitWrXi6NGj1K9fnxw5ctCwYUOWLVvG48eP1Y6bahVzdyewfXsq37ghJRTfSQaygcmRIwe+vr6cP38eb29vteMkmxkzZuDr68vy5cspVqyY2nFEMjMyMsLZ2ZlJkyZx7do1rl69ysiRI4mMjKRdu3aYm5vj4uLC5MmTuXbtmtpxUx2XRYs4Wrw45ZYv59qGDWrHMVgykA1Q+fLlmT59OrNnz2b9+vVqx0ly/v7+9O/fn759+0pphADe3zhnwIABHDt2jLCwMJYsWYKZmRkjRoygRIkSlChRggEDBnD8+HG5MiGZlD9xgrvp02PSooWUUHwjGcgGqnPnzjRv3pz27dun6BKKiIgIPD09qVixIhMmTFA7jtBDuXLlok2bNvzxxx9ERkaydetWXFxcWLFiBS4uLlhYWNC2bVu2bNlCVFSU2nFTLBNTUzLu2PGxhEKRE/C+mgxkA6XRaFiwYAEFCxbE3d2d169fqx0p0cXHx9O0aVNiYmKkNEIkSIYMGfj5559ZvHgxjx49wt/fn7Zt23LixAkaNmxIjhw5qF+/PosXLyY8PFztuClOAVdXrg8dSsWwMA7Xq6d2HIMjA9mAZcyYEV9fX+7fv58iSyhGjhz5sTQib968ascRBsbIyIhKlSoxYcIELl++zPXr1xkzZgzPnz+nU6dOWFhY4OTkxIQJE7hy5UqK+/ujlgpjxnDI0RGXnTs5P2OG2nEMigxkA1eiRAmWLFnC+vXrmTt3rtpxEs2OHTsYO3YsY8aM4YcfflA7jkgBrKys6NevH0eOHCEsLIxly5Zhbm7OmDFjsLGxoVixYvTr14+jR4/KuvN3cjl4kEumplj07SslFF9BBnIK4OnpSc+ePenTpw8nT55UO853u3v3Li1atKBevXoMGjRI7TgiBcqZMyetWrVi8+bNPHnyhG3btlGtWjXWrFlDlSpVPt5FbPPmzSlyOSipGZuYkPfwYRSkhOJryEBOISZPnpwiSijevXuHh4cHWbNmldIIkSxMTEyoW7cuCxcu5OHDh5w4cYKOHTty5swZ3NzcMDMzo169eixcuJDQ0FC14xqMXKVKET5jxvsSiqpV1Y5jEOTVLoX4UELx9u1bWrRoYbAfufXp04eLFy9KaYRQhVarpWLFiowbN46goCBu3rzJ+PHjef36NV26dCFPnjwftwcHB8u68xeU7t6dY3Xr4nrqFCeHDFE7jt6TgZyC5MuXj7Vr17Jnzx7Gjh2rdpyvtmbNGubNm8fMmTNxcHBQO44QFClShD59+nDo0CEeP37MypUryZ8/P+PGjcPOzo6iRYvSt29fDh06RFxcnNpx9VLVrVs5YWFBifHjCTlwQO04ek0GcgpTo0YNRo4cyahRo9i9e7facRIsODiYjh074uXlRceOHdWOI8S/5MiRAy8vL3x9fYmMjGTHjh3UrFmTDRs2UK1aNXLlyvVx+6tXr9SOqzc0Wi3WJ07wPE0a3koJxX+SgZwCDRs2jFq1atG8eXPu37+vdpwvevXqFW5ubhQuXJj58+dLaYTQeyYmJtSuXZt58+Zx//59Tp06Rbdu3bhw4QIeHh6YmZlRu3Zt5s+fz6NHj9SOq7qsBQoQvXo1lm/fcqZSJbXj6C0ZyCmQVqtl9erVZMyYUe9LKD6URjx69Ag/Pz8pjRAGR6vVUr58ecaMGcPFixe5ffs2kyZN4t27d3Tv3p28efNSvnx5xo4dy8WLF1PtunNxT0/Otm1L5evXOdq2rdpx9JIM5BQqR44cbNq0icDAQPr166d2nM+aNWsWmzZtYunSpVIaIVKEQoUK0atXLw4cOEBERASrV6+mUKFCTJo0idKlS1O4cGF69+7NgQMHiI2NVTtusnJZsoSjxYpRbtkyKaH4BBnIKViFChWYPn06s2bN0ssSioCAALy9venTpw/u7u5qxxEi0WXLlo3mzZuzceNGIiIi2LVrF3Xq1MHPz4/q1auTK1euj9tfvnypdtxkUS4ggBApofgkGcgpXJcuXWjWrBnt27fnypUrasf56ENpRIUKFZg4caLacYRIcunSpaNWrVrMmTOHe/fucfbsWXr27ElwcDCNGzfGzMyMWrVqMXfuXIM49+Nbpc+enQw7dmAaF8eVSpWkhOJvZCCncB9KKCwtLXFzc9OLuw7Fx8fTrFkz3r17x8aNG6U0QqQ6Go0Ge3t7Ro0axfnz57l79y4+Pj7Ex8fTq1cvChQogIODw8ftKW3duYCrK1eHDMExNJTD9eurHUdvyEBOBTJlyoSvry/37t2jY8eOqv/lHjVqFAcOHGDdunVSGiEEYGlpSY8ePdi3bx8RERGsXbuWYsWKMXXqVMqWLUvBggU/btfnkzS/RsXffuNQxYq4bN/OhVmz1I6jF2QgpxLW1tYsWbKEdevWMW/ePNVy7Ny5kzFjxjB69GiqV6+uWg4h9JWpqSlNmzZl3bp1REREsGfPHurXr8+WLVuoUaMGuXLlomnTpqxfv57nz5+rHfe7uBw6RFDWrJj37s3jixfVjqM6GcipSOPGjenRowe9e/fm1KlTyX78kJAQWrRoQd26dRk8eHCyH18IQ5M2bVpq1KjBrFmzCAkJ4dy5c/Tp04fr16/TtGlTcubM+Y/thsbYxIQ8R44A8KhKlVRfQiEDOZWZMmUKDg4OeHh48OTJk2Q77ofSiMyZM0tphBDfQKPRUKZMGUaMGMHZs2e5d+8e06dPR6vV4u3tTcGCBSlbtiwjRowgMDBQ9aWphMpVqhRh06e/L6FwdVU7jqrkVTGV+VBCERUVRYsWLdAl0xmOffv25cKFC/j6+pI9e/ZkOaYQKVn+/Pnp1q0bu3fvJiIigvXr12NjY8OMGTNwcHCgQIECdOvWjT179uj9unPpHj04VqcOridPcnLoULXjqEYGciqUP39+1qxZw+7du5OlhGLt2rXMnTuXGTNmUK5cuSQ/nhCpTdasWWncuDFr1qwhIiKC/fv306hRI7Zv306tWrUwMzP7uP3Zs2dqx/2kqn/++b6EYtw4Qg4eVDuOKmQgp1I1a9ZkxIgRjBw5kr179ybZcYKDg+nQoQMtWrSgU6dOSXYcIcR7adKk4YcffmDGjBncuXOHCxcu0L9/f27fvk2LFi3ImTPnP7brC41Wi3VAAM+NjYmqW5e3evqLQ1KSgZyK/frrr9SsWZNmzZolyY0IPpRGFCpUSEojhFCBRqOhVKlS/Prrr5w+fZr79+8ze/Zs0qVLx4ABAyhcuPA/tifXEtbnZLW0JHr1agq+fcvpVFhCIQM5FftQQpE+fXo8PT0TdZ1JURTat2//sTQiY8aMibZvIcS3yZcvH507d2bnzp1ERkayadMmSpcuzZw5c6hQoQL58+enS5cu7Ny5k3fv3qmSsXjjxpxp3Zoq165xrH17VTKoRQZyKmdmZoavry9nz56lf//+ibbf2bNns3HjRpYsWULx4sUTbb9CiMSROXNm3N3dWbVqFY8fP+bgwYN4enqye/du6tSpg5mZGR4eHqxatYqnydxhXHnZMo5aWeGwZAnXNm5M1mOrSQayoEKFCkybNo2ZM2eyIREaWE6cOIG3tze9evXCw8MjERIKIZKSsbExrq6uTJs2jVu3bnHp0iUGDRrEvXv3aNmyJbly5frH9uRQ7sQJQtKnJ12LFry4dy9Zjqk2GcgCgK5du9K0aVPat2/P1atXv3k/EREReHh4UK5cOSZNmpSICYUQyUGj0WBnZ8fQoUM5efIkDx8+ZO7cuWTMmJHBgwdTtGjRf2xPqnXn9Nmzk37bNrLFxnLZ0TFVlFDIQBbA+7+ECxcuJH/+/Li5ufHmzZuv3kd8fDzNmzcnOjqajRs3kjZt2iRIKoRITnny5KFjx45s376dyMhI/Pz8cHBwYP78+Tg6OpI3b96P26MT+U5blj/8wNVBg6gUGsrhBg0Sdd/6SAay+ChTpkz4+fkREhJCp06dvvpOP6NHj2bfvn2sW7eOfPnyJVFKIYRaMmXKRKNGjVixYgXh4eEcPnyY5s2bc/DgQerVq0eOHDk+bo+MjEyUY1YcP56DFStSaNs2jh49+o9tt/Yc5cQvrTlbqRYXSjtztlItTvzSmlt7jn5mb3pOSYAXL14ogPLixYuEPDzZHe/RQ1FAeRUaqnaUFGHdunUKoMydOzfB37Nz505Fo9EoY8aMScJkIiWxtrZW+vTpo3YMkQh0Op0SHBysjB8/XnF0dFQ0Go2i1WqVypUrK1OmTFGuX7/+xX08ePBA0el0n9wWGxur1HJ2ViwsLJR7t+8op8fMUK5ZWisKKDFaIyVOo1EUUOI0GiVGa6QooFyztFZOj5mhvHvzNrGf7ldL6AyVgSw+qXv37kratGmVU6dOffGxISEhSvbs2ZU6deoo8fHxyZBOpAQykFOu0NBQZdGiRUq9evUUExMTBVCsra2VgQMHKv7+/v96nbh8+bKi1WqVdu3aKXFxcZ/c56NHjxTbAkWUS/mKfRy+0aAMAMUCFBNQKoCyB/7arlUUUK4UtFWehTxKjqf9WQmdofKRtfgkHx8fypYti7u7+3+WUPy9NGLVqlVSGiGEwNzcnPbt2/Pnn38SGRnJ77//jqOjI0uWLMHJyQkLC4uP29++fcvvv/+OoigsXbqUFi1aEBsb+699msQo7HrzlhIPbwJgpCi0BqYCzYEZgBFQBzgGGCnvTwIrGnKF1/bleX4vNFme+/cwVjuA0E8fSijs7e3x8vJi27Ztnxy23t7enD9/nmPHjklphBDiXzJmzEjDhg1p2LAh8fHxBAQEsHXrVrZs2cKSJUtInz49adOm/XjOyoYNG3jz5g2bNm0iXbp0AMRERfPYtSZFnoZh/NegPQWsByYD/f46VkvADhgA+P/1NWNFh/nTUG5VrUGG4DOkzWCSbM/9a8nbGfFZBQoUYM2aNezatYtx48b9a/vatWuZM2cO06dPp3z58iokFEIYEiMjI1xcXJg0aRLXrl3j6tWr9O3blxcvXnx8jKIobNu2jWrVqhEVFQXAxakLKX43+OMwBvDl/Tvijn/bvwnQDggA/n4zYGNFR/G7wVyctijpnlwikIEs/lOtWrUYPnw4w4cPZ9++fR+/fvnyZTp06EDz5s3p3LmzigmFEIaqePHi5M+f/19fVxSFgIAAnJycAMiyeD7x/3Mv/HNAMSDL/3xvhb/+9/z/fD1eoyXz4vmJkDrpyEfW4ot+/fVXAgICaNq0KefOnSNr1qwfSyMWLFggpRFCiG+2f//+f/y7ubk5tra2ZM6cmSZNmnBzzxGKhVz51/eFAhaf2N+Hrz36n68bKTqK373MrT1HKVKzcmJET3QykMUXGRkZsWbNGuzt7fH09CRfvnw8ePCAM2fOSGmEEOK79O/fn1q1amFra4uNjQ1ZsvzzPe+JX1pjqTUijS7+H19/C6T7xP5M/rb9f8VqjYiYv1QGsjBsZmZmbNq0CWdnZwICAtiwYYOURgghvlv58uX/8xyUNGGhaJV/3zYzPfCpPqrov23/X1pFIU2Y/p5tLWvIIsGU99etqx1DCJGKGEe9xugTrzsWvP/Y+n99+FqeT2wzUnQYv3mViOkSl7xDFgkSGRmJp6cnFSpUoECBArRr147SpUvLu2QhxHc5ffo0Fy9exMbGBhsbG7JmzfqP7XEZMhGv0fxrKJcBDgIv+eeJXSf/tv1/xWu0xGXMnFjRE50MZPFFH0oj3r59y6ZNmzA1NaV8+fK4ublx8uRJWUcWQnydmBho0wayZuXiiROsOneOYCASyJ0798eTupo2bYqluQU6jRYj5Z9ryO7AFGAh/38d8jtgGVAR+Pe526BoNMSaf+pUMP0gA1l80ZgxY9i7dy+7d+/+WBrh5+dHhQoV6Ny5MytXrpQzrYUQCRcTAxs3Qnw8bXl/7TDAG+BFeDi/hIdzALh79y5+k2aR5o8V/9pFRcADGAw8BooCK4C7wJLPHNZYF0/Ozm0T97kkIllDFv9p9+7djB49mlGjRlGjRo2PX7exsWHRokWsXr2aBQsWqJhQCGFwMmVCcXVFATR/+yg6A5ALUIBKlSrh7+9PkZqVuW5p/a/rkAFWAr2BVUBPIBbYBlT5xCHjNVquFbTR2zOsQQay+A/37t2jefPm/PTTTwwdOvRf25s2bUq3bt3o1asXZ86cUSGhEMKQxMfEcGHOHA6VL0/kgQP/GMbxwFPAHrCoX5+DBw+SIUMGAF627/zJE7tMeH/rzFDen119Cqj1mWMbKTpetdfvmxjJQBafFBMTg6enJxkzZvzP0ggfHx/KlCmDu7s7T58+TeaUQgh99+bxY04MHMhRKyuemZhQunt3bAIDuVWw4MfHxGu1PAacANsmTfD19f14H2uAUn07cq2gLXGabxtZcRotVwvaUqpPh+97MklMBrL4JG9vbwIDA9m0aRM5cuT47OPSpUvHxo0befXqFV5eXuh0/75eUAiRuoRfuMCRli05lTs32ty5cZw0CYv797nk6EjQ4sWYvXuH461bULo0APHm5jhrNFRu147Vq1eTJk2af+wvbQYTNL5ruZ/F7KuHcpxGS1h2C8wP79XrYgmQgSw+Yf369cyePZvp06dToUKFLz7e0tKSNWvWsHPnTsaPH58MCYUQ+kTR6bi5dSuHatXiUubM5CxTBudVq0jz7h0n69cnZN8+ikZHU83fH7t27dAa/3U+cffuULEiaU+f5tiDByxatAgjI6N/7T8uLo4OfXtQL0tGbhYoAbxfE/4vH7bftLQmU+BpTAvo79nVHyVmubJajvfooSigvAoNVTuKwQsODlYyZsyoNGvWTNHpdF/1vcOHD1e0Wq2yb9++JEonUhJra2ulT58+ascQ3yj27Vvl3IwZykEHB+WusfH712BQ/PPkUY526KBEXruWaMcaMGCAYmRkpBw5ckR59+atcnrsTOVqQRtFASVGa6TEabSKAkqcRqvEaI0UBZSrBW2U02NnKu/evE20HN8qoTNULnsSH71+/Rp3d3csLS1ZuHDhV1/KNHz4cE6cOPGxhCJv3rxJlFQIoYbXYWFc8vEhfvNmrO/coYyiEKbVcq14cR43aULJnj2pZGqaqMfcsmULkyZNYsqUKVSu/P4M6XJDe8DQHtzac5SI+UtJExaK8ZtXxGXMTKy5BTk7t6W4Hp9N/TkykAXw/raYHTt25N69e99cGvGhhKJs2bJ4enpy6NChf60FCSEMS1hgINd9fEi/dy+lIiKoBFxPl45LTk7kbN8e6xYtMDdOmlFy69YtWrVqxS+//ELfvn3/tb1Izcp6fRnT15I1ZAHA3LlzWbduHUuWLKFEiRLfvJ8PJRSnTp1i4MCBiZhQCJEcFJ2O635+HPzxR4IzZcLcwQGntWsxio3lRMOG3Dt4kGLR0bgeO4Zt69b/vx6cyN6+fYubmxs5c+Zk2bJlqeLmQ/IOWXDy5En69OlDjx49aNy48Xfvz9HRER8fH3r16oWTkxPu7u6JkFIIkVTioqO5NHcuL1atonBQEMXi4rAAgvLl45iXF7b9+mFfpEiyZurevTvXrl3jxIkT/7q/dUolAzmVi4yMxMPDAwcHB6ZMmZJo++3RowfHjx+nbdu2lCpVimLFiiXavoUQ3+/lw4cE+/gQ//vv2IaEUFZRCNVquWFtzeOmTSnZoweV/qebOLksXbqUpUuXsmzZMkr/dWlUaiADORWLj4+nRYsWvH37lo0bN5I2bdpE27dGo2Hx4sVUqFABNzc3Tpw4ISUUQqgs9PRpbkydSoa9eyn55AmVgKsmJlxwcSFXhw5YN2+OxWduApRczp8/T7du3Wjfvj2tW7dWNUtykzXkVGzs2LHs2bOHtWvXkj//p7pRvk/mzJnx9fXl9u3bdOnSRbqUhUhmik7HtY0bOfjDD1zOmBGLChWotH49Gp2OADc3Hhw9Som3b3E9cgQbLy80Kg/j58+f4+7ujrW1NbNmzVI1ixrkHXIqtWfPHkaNGsXIkSP/URqR2GxtbVm0aBHNmzfH2dmZTp06JdmxhBAQGxXFpTlzeLV6NUWCgykeH485EJw/P8fbtMG2Xz8c/nbbSn2hKApt2rQhMjKSPXv2YGKi33fVSgoykFOh+/fv06xZM2rWrMmwYcOS/HjNmjXj+PHj9OzZk3LlyuHg4JDkxxQiNXlx7x5BPj6wZQt2ISHYAw+NjLhpY0N4s2aU7N4dp0yZ1I75n6ZMmcIff/zBli1bKFy4sNpxVCEDOZWJiYnBw8ODDBkysHr16s+WRiS2qVOncvr0adzd3Tl79izZs2dPluMKkVI9DAjg5rRpZNq/n5JPn+IMXEmfnsCqVbHo1InijRuTV+WPoBPqyJEjDB48mIEDB1K/fn2146jGMP7fEommX79+BAYG4uvri5mZWbIdN126dGzatImXL1/SsmVLKaEQ4ispOh1X163jkKsrVzJkIK+TE5U2bQIgwMODh/7+WEdFUe3QIUo0bar6enBChYaG0rhxYypXrszYsWPVjqMqeYeciqxfv55Zs2Yxe/bsBJVGJDZLS0tWr15N3bp1mTBhAkOGDEn2DEIYkpjXr7k4axZv1q2j6OXLlIiPf399sKUl/g0aYOvtjUOBAmrH/GZxcXE0bdoUjUbDunXrME6im4wYitT97FORK1eu0L59e5o2bUrXrl1Vy1G7dm2GDRvGr7/+SsWKFalevbpqWYTQRy9CQgiaPBnN1q3Y3r9POeC+kRE3bW0Jb9ECu65dcU4hlxAOGzaMY8eOcfDgQczNzdWOozoZyKnA69evcXNzo0CBAt9UGpHYRowYISUUQvzNg2PHuDVtGpkOHqTUs2c4A5czZCCwWjXydO5MMXd38hvIR9AJtXXrViZOnMjkyZM/lkakdjKQUzhFUejUqRP37t3j9OnTZNKDMy0/lFDY29vTuHFjDh48KCUUIlVRdDqurl1L+MKFWJw+TfHoaHIBF3PkIKBJE6z69sWmfHls1A6aRG7dukXLli1p2LAh3t7easfRGzKQU7h58+axdu1a1q1bh7W1tdpxPsqZMycbN26kSpUqDBo0CB8fH7UjCZGk3r18yaWZM4lavx6rK1ew1ukw12gItrTk6S+/YNu3L+Xy5VM7ZpJ7+/Yt7u7umJmZpZrSiISSgZyCnTp1it69e9O9e3eaNGmidpx/qVSpElOmTKF37944OTnh5uamdiQhEtWzW7e4PGUKmm3bsHvwgHLAPWNjrpcuTViLFth17oxLhgxqx0xWPXr04OrVq5w4cQLTRO5ONnQykFOoJ0+e4OHhgb29vV6/++zZsyf+/v60adOGkiVLSgmFMHj3jxzh9rRpZD50iFLPn+MMBGfMSOCPP5Knc2esfvmFAilsPTihli1bxpIlS1i6dGmqKo1IKBnIKZBOp6NFixa8efMm0UsjEtuHEory5cvj7u7OiRMnyJDK3jEIw6aLi+PKqlVELFlC3jNnsHr37v16cM6c+DdrRjFvb2zt7dWOqboLFy7QtWtX2rVrR5s2bdSOo5dkIKdAv/32G7t372bXrl0UMIBrFDNnzoyfnx8VKlSgS5cuLF++XNaVhF6Lfv6cSzNm8HbDBopdu4atTsdTjYbLhQoR2agRdn37Ut7CQu2YeuPFixe4u7tTokSJVFkakVAykFOYvXv3MmLECEaMGEHNmjXVjpNgtra2LFy4kBYtWuDi4kKHDh3UjiTEPzy9cYPLkydjvH07do8eUR4IMTbmatmyhHl5YdepEy6psBDhSxRFoXXr1kRERLBr1y7Sp0+vdiS9JQM5BflQGlGjRo1kKY1IbM2bN+f48eP06NEDBwcH7OVjPqGykP37uTNzJqaHD1PyxQtcgKCMGTlTsyb5unWjSL16WKbS9eCE8vHx4Y8//uCPP/6gSJEiasfRazKQU4iYmBg8PT1Jnz49a9aswcjISO1I32TatGmcPn0aNzc3AgMDyZYtm9qRRCqii4vj8vLlRCxdSv7AQIq+e0du4GKuXBz38qJEv37YlSqldkyDceTIEQYNGsSAAQNo0KCB2nH0ngzkFKJ///6cPXuWo0ePJmtpRGL7UEJhb29Py5Yt2bJlS7I1UonU6e3Tp1yaPp3ojRspceMGdjodkRoNV4oUIbJRI0p6e1MhVy61YxqcsLAwGjdujIuLC7/99pvacQyCDOQUYMOGDcycOZNZs2ZRsWJFteN8t4IFC34soZg4cSKDBw9WO5JIYSKvXOGqjw/GO3ZQMjSUCsCdNGm4bG9PWJs22LZvT2U9vjpB330ojYD3pTapvTQioeS/koG7evUq7du3p0mTJnTr1k3tOImmTp06DBs2jGHDhlGxYkV++OEHtSMJA3dn925CZs4k27Fj2L18iRMQlDkzp3/6iQI9elDop58oJJ/GJIpff/2Vo0ePcuDAASmN+AoykA3YmzdvcHd3J3/+/CxatCjFXSo0cuTIf5RQ5MmTR+1IwoDEx8RwedkynixdSv7z5ykSE0Nu4JK5Of6//EKJfv0oZWendswUZ+vWrUyYMIGJEydSpUoVteMYFBnIBupDacTdu3c5deqUXpRGJDYjIyPWrl1L2bJlady4MQcOHJASCvGfoiIjuTRtGjGbNlHi5k1KKgoRGg1XixYl0sODkn36UNGAz7HQd7dv36Zly5Y0aNCA/v37qx3H4MhANlDz589nzZo1rF27FhublNoJ8/8lFFWrVmXw4MFMmTJF7UhCz0QEB3N1yhTS7tpFybAwKgK306YluHx5crRti02bNrIenAyio6M/lkbIzX2+jQxkA3T69Gl69+5Nt27dPp44kZI5OTkxefJk+vTpg5OTE40aNVI7klDZ7R07uDdrFtmPH8fu1SucgUtZsnC6bl0KdO9O4Z9+orDaIVOZnj17cuXKFQICAqQ04hvJQDYwT548wd3dnTJlyuh1aURi69Wr1z9KKKysrNSOJJJRfEwMwYsX83TZMiwvXKBwbOz79WALC/w9PSnh7U1pPaoXTW1WrFjBokWLWLJkCWXKlFE7jsGSgWxAdDodXl5evHnzhk2bNpEuXTq1IyWbv5dQuLm5SQlFKvDm8WMu+fgQu3kz1rduUUpReKzVctXKighPT0r27o1j9uxqx0z1Ll68SOfOnWnbti1t27ZVO45Bk4FsQMaNG8euXbvYuXOnQZRGJLYsWbLg5+dHxYoV6dq1q5Sbp0CPL17k6pQpmOzeTcnHj3EEbqZLR1DFipi1a4dN69ZUkWta9caLFy9wc3OjePHizJ49W+04Bk9+sg3Evn37GD58OMOHD6dWrVpqx1GNnZ0d8+fPp2XLlri4uNC+fXu1I4nvoOh03Ny6lQdz5mDm74/d69fkAC5lzcqpn3+mYM+eFP3xR4qqHVT8i6IotG3blsePH3P27FkpjUgEMpANwIMHD2jatCk1atTg119/VTuO6ry8vDh+/Djdu3fH3t5eSigMTFx0NMGLFtHtzh1qz5pF4RkzMAeC8uThWNOm2PTrR5lixdSOKb5g6tSpbN68md9//52iReVXpsQgA1nPfSiNMDExMejSiMQ2ffp0zpw5g7u7O2fPnpUSCj33OiyMSz4+xG/ejPWdO5RWFHICx7Nn50nPnpTs1QtHOTPXYBw7doyBAwfSv39/GjZsqHacFEPuE6fnBgwYwJkzZ9i0aZNBl0YkNhMTE3x9fXn+/DmtWrVCp9OpHUn8j7DAQI40b87pXLlIY2FBpSlTyP3wIZecnAheupQfixcnoFUryo8YgYkMY4MRHh6Op6cnzs7OjBs3Tu04KYoMZD22ceNGZsyYgY+PD46OjmrH0TsFCxZk1apV/Pnnn0yaNEntOKmeotNxY/NmDtWoQXCmTJg7OOC0di3GsbGcaNiQewcPYhUdjeuxY9i2aQNy32iD86E0QqfTSWlEEpD/mnrq2rVrtGvXjiZNmtC9e3e14+itunXrMnToUIYOHYqjoyOurq5qR0pV4qKjuTR3Li9XraJQUBBWcXHv14Pz5eO4lxc2/fpRVkrpU4zhw4dz+PBhDhw4gIWFhdpxUhwZyHrozZs3uLm5kS9fPhYuXCiX9nzBqFGjCAgIoEmTJpw7d05eKJLYq0ePCJoyBd3vv2MTEkJZRSFMq+V6iRI8btqUkj17UilLFrVjikT2559/Mn78eCZMmEDVqlXVjpMiyUDWM4qi0LlzZ+7cucOpU6fInDmz2pH0npGREevWrftYQrF//34poUhkoadPc2PqVDLs3UvJJ0+oBFwzMeGCiwu5O3SgRPPmmMtH0CnWnTt3aNmyJfXr12fAgAFqx0mx5G+QnlmwYAGrV69m0aJF2Nraqh3HYOTKlYuNGzcSEBDAkCFD1I5j8BSdjmsbN3KoenUuZ8yIRYUKOK1fj1an40SjRjw4epTib9/ieuQI1l5eaGQYp1gfSiOyZ8/OihUr5BO7JCTvkPXImTNn6NWrF127dqVZs2ZqxzE4zs7OTJo0ib59++Lk5MQvv/yidiSDEhsVxaU5c3i1Zg1FgoIoHh+PBRCcPz/+bdpg4+2NfaFCascUyaxXr14EBwdLaUQykIGsJ/5eGjF16lS14xis3r174+/vT+vWrbGzs5MSii94ce8ewT4+KFu2YBcSgj3wyMiIGzY2hDdtSskePaiUAru2RcKsXLmShQsXsnjxYsqWLat2nBRPBrIe0Ol0tGzZklevXnH48OFUVRqR2DQaDUuWLKF8+fK4u7sTEBAgJRT/42FAALemTSPj/v2UfPoUJ+Bq+vScq1oV844dKd6kCXnkI+hU79KlS3Tu3Jk2bdrQrl07teOkCvK3Tg+MHz+enTt3smbNGiwtLdWOY/CyZMmCr68vN27ckEvGeL8efHXdOg65unIlQwbyOjlRadMmNECAuzsP/f0pERWF66FDlGjWTNaDxcfSCCsrK+bMmaN2nFRD3iGrbP/+/QwfPpxhw4bx008/qR0nxShZsiTz58+nVatWODs7p7rf8GNev+bS7Nm8XruWopcvU+Kv9eAgS0v8GzTA1tsb+1TYGCa+TFEU2rVrR3h4uJRGJDMZyCp6+PAhTZs2pXr16owYMULtOClOy5YtOX78ON26dcPe3j7Fr4G9CAkheMoU2LIF2/v3cQAeGBlx09aW8ObNKdmtG84ZM6odU+i56dOn4+fnx+bNm6U0IpnJQFZJbGwsnp6epEuXTkojktCMGTP+UUKR0s4SfXDsGLemTyfzgQOUfPYMJ+BKhgycq1YNi86dKebuTj75CFok0PHjxxkwYAD9+vWTqxRUIH9TVTJgwABOnTrFxo0byZkzp9pxUqwPJRTPnj1LESUUik7HldWrOVSlCtfSpydf5cpU8vND0WoJaNyY0FOnsH7zBtcDByju6SnrwSLBHj9+jKenJ5UqVWL8+PFqx0mV5B2yCnx9fZk+fTozZsygUqVKasdJ8QoVKsSqVauoV68ekydPZuDAgWpH+irvXr4kaNYs3qxbh9WVK1jrdFhoNARbWvK0YUNsvb1xyJdP7ZjCgMXHx9O0aVPi4+PZsGGDlEaoRP6rJ7Pr16/Ttm1bPD096dGjh9pxUo26desyZMgQhgwZQsWKFfW+hOL57dsET56Mdts27B48wAG4b2zM9VKlCPPywq5zZ5zlci6RSIYPH86hQ4fYv3+/3AteRTKQk9GH0og8efKwePFiuQVdMtP3Eor7R45we9o0shw6RMnnz3EGgjNm5Gz16uTp0gWrX34hv3wELRLZ9u3bGTduHOPHj9f7X1RTOhnIyURRFLp06cLt27elNEIlxsbGH0somjRpwv79+1X9aE4XF8fV1at5vHgxec+cwerdO3IBF3PmxL9ZM4r17Yutg4Nq+UTKd/fuXby8vPj555+lNEIPyEBOJgsXLmTVqlWsXr1aSiNUlDt3bjZu3IirqytDhgxh0qRJyXr86OfPuTRjBm83bKDYtWvY6HSYazRcKVSIyEaNKNm3L+X17J27SJk+lEaYmpqyYsUKtPLpi+pkICeDM2fO0LNnT7p06ULz5s3VjpPqubi4MGnSJLy9vXFycqJhw4ZJerynN25wefJkjLdvx+7RI8oD94yNuVamDOGtWmHbsSPOJiZJmkGI/9W7d2+CgoIICAggW7ZsascRyEBOck+fPsXd3Z3SpUszbdo0teOIv/Tp0wd/f39atWrF2bNnE/0GCCH793Nn5kxMDx+m5IsXuABBGTNypmZN8nfrRuF69Sgg70iESlatWsWCBQtYtGhRir9hjiGRgZyEpDRCf2k0GpYuXUq5cuU+llB8zy0CdXFxXFmxgoglS8gXGEjRd+/IDVzKlYvjXl6U8PbGrnTpxHsCQnyjS5cu0alTJ1q3bp3qbimr72QgJ6EJEyawfft2duzYIaUReuhDCYWjoyPdu3dnyZIlX/X9b58+5dL06bzbuJHiN25gq9PxRKPhSuHCRLq5vV8Pzp07idIL8fVevnz5j9IIudJDv8hATiL79+/n119/ZdiwYdSuXVvtOOIzSpUqxbx582jdujXOzs60bdv2Px//5OpVrkyZgvGOHZQMDaUCcCdNGi7b2xPWujW2HTrgkjZt8oQX4iv8vTTizJkzUkuqh2QgJ4EPpRE//PADI0eOVDuO+IJWrVr9o4SiTJky/9h+Z/du7s2ahenRo9i9fIkTEJw5M6d/+okC3btTuE4dCsk7DaHnZsyYga+vL35+flhZWakdR3yCDOREFhsbS+PGjUmbNi1r166V0ggDMXPmTM6ePYubmxunAgJ49PvvPFm2jPznzlEkJgZz4FLu3Pg3akQJb29K2tmpHVmIBDt+/Dj9+/fH29ubRo0aqR1HfIYM5EQ2cOBATp48yZEjR6Q0woDoXr9mnKMjj+bPJy53bkoCERoNV4sW5YmHB3Z9+lDBzEztmEJ8tQ+lEY6OjlIaoedkICciPz8/pk2bxvTp06U0wgBEBAVx1ceHtLt2UTIsjFrATWNjlut0GP/yC73Xr6eyrAcLAxYfH0+zZs0+lkakSZNG7UjiP8iFkInk+vXrtGnTBg8PD3r27Kl2HPEZt3fs4FCdOlzKkoUcJUvivHw56aOiOF23Lnd27qRobCzPBw1i4NatHD9xQu24QnyXkSNHcvDgQdatW0eePHnUjiO+QN4hJ4KoqCjc3d2xsLCQ0gg9Ex8TQ/DixTxdtgzLCxcoHBuLOXDRwgJ/Dw9K9OtHKWvrf3zPmDFjOHnyJI0bNyYwMFDvSiiESIgdO3YwduxYxo0bR7Vq1dSOIxJABvJ3+lAacevWLU6ePEmWLFnUjpTqvXn8mKCpU4nx88P61i1KKQqPtVquWlkR4elJyd69ccye/bPfr28lFEJ8rbt379KiRQvq1atncP3fqZm8ynynRYsWsXLlSlatWoWdnHmrmscXL3JtyhTS7d5NycePqQjcTJeOoIoVMWvXDpvWranyFUM1d+7cbNiwgWrVqjF06FAmTpyYdOGFSETv3r3Dw8MDU1NTVq5cKaURBkQG8nc4e/YsPXr0oHPnzrRo0ULtOKmKotNxe9s27s+Zg5m/P3avX5MDuJQ1K6d+/pmCPXtS9Mcf+Z47VFeuXJmJEyfSr18/nJycaNCgQWLFFyLJ9O7dm0uXLuHv7y+lEQZGBvI3evbsGe7u7pQqVYrp06erHSdViIuOJnjhQp6tXEmhixcpEhtLbiAoTx6ONW2KTb9+lClWLFGP2bdvX44fP/6xhKJIkSKJun8hEtPq1auZP38+CxcuxN7eXu044ivJQP4GH0ojXrx4wcGDB6U0Igm9DgsjyMeH+M2bsb5zh9KKQrhWy7XixXncuDEle/XC0dQ0yY6v0WhYtmzZxxIKf3//7yqhECKpBAUF0alTJ1q1akX79u3VjiO+gQzkbzBx4kS2bdvGtm3bKFiwoNpxUpywwECu+/iQfu9eSkVE4AjcSJeOi5UqkbN9e6y9vMidjCdZZc2a9WMJRY8ePVi8eHGyHVuIhHj16hXu7u4UKVKEuXPnypUeBkoG8lc6ePAgw4YNY+jQodStW1ftOCmCotNx848/eDhvHjkDArB98wYz4JKpKScaNqRQz55YVauGmnffLV26NPPmzaNNmzY4OzvTpk0bFdMI8f8+lEY8evRISiMMnAzkr/Dw4UOaNGlCtWrVGDVqlNpxDFpcdDRB8+bxYuVKCgUFYRUXhzkQlC8fx728sOnXj7J6tl7bunVrjh8/TteuXSlbtuy/SiiEUMPMmTPZtGkTfn5+FEvkcyhE8pKBnEAfSiPSpEkjpRHf6NXDhwT5+KD7/XdsQkIooyiEabVcL1GCx02bUrJnTyrp+XXcs2bN4uzZs7i7u3PmzBlMk3D9Wogv8ff3p1+/fvTt21dKI1IAGcgJNHjwYE6ePMnhw4fJlSuX2nEMRujp09yYOpUM+/ZRMjKSSsA1ExMuuLiQu0MHSjRvjrkBXSdpYmKCr68v9vb2tGnThs2bN8t6nVDF30sjJkyYoHYckQgM55VQRZs3b8bHx4fJkyfj5OSkdhy9puh0XNu4kUM//MDljBmxqFABp/Xr0cbHc6JRIx4cPUrxt29xPXIEay8vNAY0jD8oXLgwK1eu5I8//sDHx0ftOCIVio+Pp3nz5sTGxkppRAoi75C/4MaNG7Rp0wZ3d3d69eqldhy9FBsVxaU5c3i1Zg1FgoIoHh+PBRCcPz/HW7fGtl8/7AsVUjtmoqpfvz4DBw5k0KBBVKhQgSpVqqgdSaQio0aN4sCBA+zdu1dKI1IQGcj/ISoqCjc3N8zNzVmyZIl8NPk3L+/fJ2jKFNiyBduQEOyBR0ZG3LCxIbxpU0r26EGlTJnUjpmkxo4d+7GE4ty5c5ibm6sdSaQCO3fuZMyYMfz222/88MMPascRiUgG8mcoikLXrl25efOmlEb85dGJE9ycOpWM+/dT8ulTnICr6dNzrmpVzDt2pHiTJuQxwI+gv9WHEgp7e3uaNGnCvn37pIRCJKmQkJCPpRGDBg1SO45IZKnn1fMrLV68mBUrVrBgwQJKliypdhxVKDodV9et45CrK1cyZCBPpUpU2rQJgAB3dx76+1MiKgrXQ4co0ayZQa4Hfy9zc3M2bNjAsWPHGDZsmNpxRAr27t073N3dyZIli5RGpFDy6/wnBAYG0qNHDzp16oSXl5facZJVzOvXXJo1i9fr1lH08mVK/LUeHGRpiX+DBth6e+NQoIDaMfVK5cqVmTBhAv3798fJyYn69eurHUmkQH369OHixYtSGpGCyUD+Hx9KI+zs7FJNacSLkBCCJ0+GrVuxvX8fB+CBkRE3bW0Jb9GCkl274pwxo9ox9Zq3tzfHjx+nZcuWBAYGUrhwYbUjiRRkzZo1zJs3jwULFuDg4KB2HJFEZCD/jU6no1WrVjx//pwDBw5gYmKidqQk8+DYMW5Nn07mAwco+ewZTsDlDBk4V60aFp07U8zdnXzykViCfaqEIiX//IjkExwcTMeOHWnZsiUdOnRQO45IQvKK+zeTJk3izz//ZNWqVSmuNELR6biyejWHqlThWvr05KtcmUp+fui0WgIaNyb01Cls3rzB9cABint6psr14O9lamqKn58fV65coUePHmrHESnAq1evcHNzo3DhwsybN0+u9Ejh5B3yXw4ePMjQoUMZMmRIiimNePfyJUGzZvFm3TqsrlzBWqfDQqMh2NKSp7/8gm3fvpTLl0/tmClK6dKlmTt3Lm3btsXZ2ZnWrVurHUkYKEVRaN++vZRGpCIykIFHjx7RpEkTXF1dGT16tNpxvsvz27cJnjwZ7bZt2D14gANw39iY66VKEeblhV3nzjjLX+wk1aZNG44fP06XLl0oW7YspUuXVjuSMECzZs1i48aNbNq0SUojUolUP5A/lEZ8uKbUEEsj7h8+zO3p08ly6BAlnz/HGQjOmJGzP/5Ins6dsfrlF/LLR9DJ6n9LKLJmzap2JGFAAgIC8Pb2pk+fPri7u6sdRyQTwx3IcXHg6gqhodhHRgKQwdERjIygcWMYNy5BuxkyZAgnTpzg0KFDBlMaoYuL4+rq1TxevJi8Z85g9e4duYCLOXPi36wZVn36YFuunNoxU7X06dPj6+uLg4MDbdq0wc/PT9b/RIJERETg6elJxYoVmThxotpxRDIy3IGs0cC9e3D/Ph/OZdWGhLz/hxcvErSL33//nSlTpjB16lScnZ2TJmciiX7+nKCZM4lav55i165ho9NhrtFwuVAhIhs1wq5PH8rLPW31SpEiRVixYgUNGzZk6tSpeHt7qx1J6LkPpRHv3r2T0ohUyGAHsqLVcr1pU4pPmvSPr+uMjAhp3JgvVRncuHGD1q1b4+bmRu/evZMs5/d4euMGV6ZMwWjbNuwePaIcEGJszNWyZd+vB3fqhItcWqPXGjRowIABAxg4cCAVKlSgcuXKakcSemz06NHs37+fPXv2kDdvXrXjiOSmJMCLFy8UQHnx4kVCHp4soqOjlbQajRICSjwoCiixoMwGpVatWv/5vW/evFFKlSqlWFlZ6dVzUhRFubtvn3Kwfn3lXNasStxfz+tSxozKwZo1lZtbtii6+Hi1I4qvFBsbq1StWlWxsLBQQkND1Y6jN6ytrZU+ffqoHUNv7Ny5U9FoNMrYsWPVjiISWUJnqMGe6ZMuXTo8mzdntEbz8WJqBZgAtG3b9h+PffjwIVOnTiU6OhpFUejWrRs3btzAz89P9dIIXVwcwUuWcMjJiZsmJlj++COOW7cSky4dx728eHz+PHavX+O6ezdF6teX64MNkLGxMevXr0dRFJo2bUpcXJzakYSeCQkJoXnz5tSpU4fBgwerHUeoJTGne3K7du2akgaUiL/eSS4EpVixYkr8/7yLHDlypAIopUqVUsaNG6cAyooVK1RKrShRT54oJ3/9VTlSvLgSrtUqCigRGo1ypGhRJWDAAOV1eLhq2UTSOXz4sGJkZKQMGjRI7Sh6Qd4hvxcdHa2UL19eKViwoPLkyRO144gkkNAZatADWVEUpUWLFsqYvz62LgTKhg0b/vWYevXqKRqNRjEyMlJIwEfaSSHyyhXlaNu2ygkLC+X1X79A3E6TRjlYrpxyftYsJe7du2TPJJLfxIkTFUDZsmWL2lFUJwP5vW7duilp06ZVTp8+rXYUkURSzUC+du2aogElLShFixb917tjRVGU3LlzK7z/RPvjn0GDBilxcXFJmu3O7t3Kobp1lfNZsihxf/3ScCFzZuXgTz8pt7Zvl/XgVEin0ykNGjRQTE1NlVu3bqkdR1UykBVlzZo1CqDMnz9f7SgiCaX4NeQPihUrhrOLCzHAr7/++q+O0MePHxMeHv6v75swYQLHjh1L1CzxMTFcWrCAQ46O3EqXjoK1alF++3aiM2TAv1Urnly6RKmXL3HduZPCderIenAqpNFoWL58OTly5MDDw4Po6Gi1IwmVXL58mQ4dOtCiRQs6duyodhyhB1LERJg3bx4NGjSgRYsW/9p27ty5j//84cYMRYsWZcWKFYlyCUpUZCQnhw7laPHiPDUxoWTnztieOsUjS0tODhkCERFUDA2l8vLl5LSz++7jCcNnamqKr68vly9fpmfPnmrHESr4UBpRqFAh5s+fLzeNEYABX4cMcGvPUSLmLSFNWCijol5zzrk2seYW5OzSjiI13w/bzZs3f3y8tbU1I0eOpFGjRt91i8yIoCCu+viQdtcuSoaFURG4nTYtweXLk6NtW2zatKFy2rTf+/REClamTBnmzJlDu3btcHZ2plWrVmpHEslEURQ6dOjAw4cPOX36NBmla1z8xeAGckxUNBenLiTL4vkUC7lCAa0RWkWHkaIQr9Gg02hJ88cKrlta87J9Z4wUyJUrF/Pnz6dhw4bf9puoonBn1y5CZs0ix7Fj2L56hTNwKUsWTtWpQ4Hu3SlcuzZSSS++Rtu2bTl+/DidO3embNmylCpVSu1IIhnMnj2bDRs2sGnTJooXL652HKFHNIqiKF960MuXL8maNSsvXrxQ9brd5/dCCa9ag+J3g7kIjAHOAmFABsAG6A/8DMRrtBgpOq4WtMX88F5MC1h81bHiY2IIXrSIZytWUOD8eQrFxvIGuGRhQVydOpTw9sbM2jpxn6BIdd6+fUulSpV48+ZNqiuhsLGx4aeffmLq1KlqR0k2J06coEqVKnTr1o1p06apHUckk4TOUIN5h/ws5BFvHCpQ5GkoAA+AV0ArIA8QBfgB9YEFQEdFB0DRkCuE2ZeHwNNfHMpvHj8maOpUYvz8sL51i1KKwmOtlqtWVkR4elKyd28cs2dPsucoUp+/l1C0bdsWX19fWU9MoSIjI/Hw8KB8+fJM+p9b/goBBjKQY6KieexakyJPQzH+a9DW+evP33UHHICpwIdzFo0VHeZPQ7lVtQYZgs+QNsM/7/38+OJFrk2ZQrrduyn5+DEVgZvp0hFUsSJm7dph07o1VYwN4j+TMFAfTjL85ZdfmDZtGn379lU7kkhkH0ojoqOjpTRCfJZBnGV9cepCit8N/jiMP8cIyA88/5+vGyu69x9zT1uEoihc37+fQ7VqEZQ5M7lKl8Zp1SrSvnvHyfr1Cdm3j6LR0bgGBGDXvj1aGcYiGTRs2JD+/fszYMCARL8cT6hvzJgx7N27l3Xr1pEvXz614wg9ZRDTJsvi+cRrNBh9Yrn7DfAWeAFsBXYCjT+xj3iNlnRzZlJs+Uxm3LxJFSAoTx6ONW2Kdb9+lClWLCmfghBfNG7cOE6ePImnpyfnzp0jd+7cakcSiWDXrl2MHj2a0aNH8+OPP6odR+gxvX+HfHPPEYqFXPnkMAbwBnICRYF+wC/A7E88zkjRUTL0Jm5lndD+8QfGz57h+PAhLgsXkkOGsdADH0oodDqdlFCkEPfu3aN58+bUrl2bIUOGqB1H6Dm9H8iR85YSq/38NcO9gb3ACqA2EA/EfOaxsVojGsZp+alBA0xMTRM5qRDfz8LCgvXr13P48GGGDx+udhzxHd69e4eHhweZM2dm1apV/7qLoBD/S+9/QtKEhaL9j7XjEsCPQEtgG/Ca95c9fer9tFZRSBMWmhQxhUg0rq6ujBs3jvHjx7Nt2za144hv1K9fP86fP8+mTZvILldniATQ+4FsHPX6sx9Xf4o7cBq4/oltRooO4zevEiuaEElmwIAB1K9fHy8vL+7cuaN2HPGV1q9fz+zZs5k+fTrly5dXO44wEHo/kOMyZCL+K67LfPvX/774xLZ4jZa4jJkTJZcQSUmj0bBixQqyZ8+Ou7u7lFAYkMuXL9O+fXuaN29O586d1Y4jDIjeD+RYcwt0mn/HfPypxwIrgfS8v2vX/1I0Gq6/jWbz5s28fv06cYMKkcg+lFAEBwfTq1cvteOIBHj9+jXu7u4ULFiQBQsWyE1exFfR+4Gcs0s70uji//X1TkB1YBSwGBgLlAIC//rnTJ/Yl7Eung3xb3Fzc8PMzIy6deuycOFCQkNlXVnop7JlyzJnzhwWLlzIypUr1Y4j/sOH0oj79+/j5+cnpRHiq+n9QC5SszLXLa3/9bF1Y96Hnwd04f3dufIBW4BP3ecoXqPlWkEb/rh4khs3bjBu3DjevHlDly5dyJMnDxUrVmTcuHEEBweTgNt7C5Fs2rZtS+vWrencuTOXLl1SO474jDlz5rB+/XqWLFkipRHim+j9QAb+am3655BswvvLncJ4/1H107/+vf5n9mGk6HjV/v16TtGiRenbty+HDh3i8ePHrFy5kvz58zNu3Djs7Oz+sV2uBRVq02g0zJkzBysrK9zc3Hj58qXakcT/OHnyJH379qVnz554enqqHUcYKINoe4qJiuaObTmKhFz54u0zPyVOo+WmpTWFP3Ev67+Ljo7m4MGDbNmyha1btxIaGkq2bNmoW7cuDRo0oFatWmTOLCeFCXXcvHkTBwcHatSowaZNmwx+fTKltD1FRkZib29Pvnz5OHToEGmlC138j4TOUIN4h5w2gwm5D+8lLLsFcZ84weu/xGm0hGW3wPzw3v8cxgAmJibUrl2b+fPn8+DBA06dOkXXrl25cOECHh4emJmZfdz+6NGj73lKQny1okWLsnz5cvz8/Jg+fbracQTvSyNatGjB27dv2bhxowxj8V0MYiADmBawIFPgaW5Zvu8gjv/CYP6w/aalNZkSUL34v7RaLeXLl2fs2LFcvHiRW7duMXHiRN69e0f37t3JmzfvP7bLurNIDr/88gv9+vVjwIABHD9+XO04qd7YsWPZs2cPa9euldII8d0MZiDD+6FcKPgMZ8bO5KZlCeD97TA/DN94jfbjbTZvWpbgzNiZFA4+89XD+FMKFy5M7969OXDgAI8fP2b16tUUKlSIiRMnUrp06X9sj42N/e7jCfE548aNo1KlSnh6evL48acuABTJYffu3YwaNYpRo0ZRo0YNteOIFMAg1pA/59aeo0TMX0qasFCM37wiLmNmYs0tyNm5LUVqVk6WDO/evePQoUMf150fPnyIqakpderUoUGDBvz000969d9MpAyPHj3C3t4eW1tb9uzZg5HR5+/3rq8MeQ353r172NvbU6FCBbZt2yb3qRb/KaEz1KAHsr5RFIXAwMCPw/nChQukSZOGatWq0aBBA+rXry8fa4lEc+jQIapXr87gwYMZO3as2nG+mqEO5JiYGKpUqUJoaCiBgYHkyJFD7UhCz6Wok7oMhUajwcHBgdGjR3P+/Hnu3LmDj48P8fHx9OrVi/z58/9ju6w7i+/h6urKb7/9xm+//cb27dvVjpNq9OvXj8DAQDZt2iTDWCQqGchJqGDBgvTo0YN9+/YRERHB2rVrsbKywsfHh7Jly/5ju6w7i28xYMAAfv75Z7y8vLh7967acVK89evXM2vWLKZPn06FChXUjiNSGBnIycTU1JSmTZuyfv16IiIi2LNnDz///DNbtmyhRo0a5MyZ8+P2Fy8+VY0hxL9ptVpWrFiBqamplFAksStXrtC+fXuaNWtGly5d1I4jUiAZyCpImzYtNWrUYPbs2YSEhBAYGEifPn24du0aTZs2xczM7OP2e/fuqR1X6Lls2bLh6+tLUFAQvXv3VjtOivT69Wvc3NywtLRk4cKFBn9TFqGfZCCrTKPRULZsWUaMGEFgYCAhISFMnz4djUZD3759sbS0pGzZsowcOZLAwEBZdxafZG9vz6xZs1iwYAGrVq1SO06KoigKHTt25N69e1IaIZKUDGQ9U6BAAbp168aePXuIiIhg/fr1WFtbM336dBwcHP6xPSYmRu24Qo+0b9+eVq1a0alTJymhSERz585l3bp1LFmyhBIlSqgdR6RgctmTgYiNjeXIkSNs3bqVLVu2EBISQubMmalduzYNGjSgdu3aZMuWTe2YQmVRUVFUqlSJt2/fcubMGb3++2oIlz2dOnUKFxcXOnfuzMyZM9WOIwyUXPaUwqRJk4bq1aszY8YM7ty5w/nz5+nfvz+3bt2iefPm5MqVi+rVqzNz5kw52zYVy5AhA76+voSHh9OuXTtZ4vgOT548wcPDAwcHB6ZMmaJ2HJEKyEA2QBqNhtKlS/Prr79y5swZ7t+/z8yZM0mTJg39+vWjUKFC/9guL8qpi5WVFcuWLcPX15cZM2aoHccg6XQ6WrRoQVRUlJRGiGQjAzkFyJcvH126dGHXrl1ERkayceNGSpUqxZw5cyhfvvw/tr97907tuCIZNGrUCG9vb/r37y8lFN9g7Nix7N69m7Vr15I/f36144hUQgZyCpMlSxY8PDxYtWoV4eHhHDhwAE9PT3bv3k3t2rUxMzPDw8OD1atX8/TpU7XjiiQ0fvx4HB0dpYTiK+3Zs4eRI0cycuRIKY0QyUoGcgr24T7a06ZN49atW1y6dIlBgwYREhKCl5cXuXLl+rj99u3bascViSxNmjRs2LCBuLg4mjVrRnx8vNqR9N79+/dp1qwZNWvWZNiwYWrHEamMDORUQqPRYGdnx9ChQzl16hQPHz5kzpw5pE+fnkGDBlGkSBFKliz5cbtOp1M7skgEefLkYf369Rw8eJCRI0eqHUevxcTE4OnpSYYMGVi9erU0OIlkJz9xqVSePHno1KkTO3bs4MmTJ/j6+mJvb8/8+fOpWLEi+fLl+7hdbsdo2KpVq8bYsWMZO3YsO3bsUDuO3urfvz9nz57F19cXMzMzteOIVEgGsiBTpky4ubmxYsUKwsPDOXz4ME2bNmX//v3UrVsXMzOzj9sjIyPVjiu+wcCBA6lXrx4tWrSQy+I+YcOGDcycOZNp06ZJaYRQjdwYRHyWoihcuXLlY7/ziRMn0Gq1uLi4UL9+fRo0aEDRokXVjikS6NmzZ9jb22NmZsaxY8dIly6dqnn05cYgV69epXz58vz888+sWbNG7lMtEp3cGER8N41Gg42NDYMHDyYgIIDQ0FDmz59PlixZGDp0KFZWVh+3nzhxQtad9dyHEoqLFy9KCcVfPpRG5M+fX0ojhOpkIIsEMzc3p0OHDvz55588efKEzZs3U7FiRRYvXkylSpXIkyfPx+1v375VO674BAcHB2bNmsX8+fNZvXq12nFUpSgKnTp1IiQkBD8/PzJlyqR2JJHKyUAW3yRjxoz88ssvLFu2jLCwMI4ePYqXlxeHDx+mfv36mJmZfdweERGhdlzxNx06dKBly5Z06tSJoKAgteOoZv78+axdu5bFixdjbW2tdhwhZA1ZJL6rV69+XHcOCAhAo9Hg5OT0cd25WLFiakdM9aKionB0dCQmJobTp0+TOXPmZM+g5hry6dOncXFxoWPHjsyaNSvZjy9SF1lDFqopUaIEAwcO5Pjx44SGhrJo0SKyZ8/OiBEjKF68+Mft/v7+crMKlXwooXj06FGqK6F48uQJ7u7ulC1bFh8fH7XjCPGRDGSRpHLnzk3btm3ZsmULkZGRbNmyBWdnZ5YtW4azszMWFha0a9eOLVu2EBUVpXbcVKVYsWIsXbqUTZs2pZpqQZ1Oh5eXF2/evJHSCKF3ZCCLZJMhQwbq16/PkiVLCA0N5fjx47Rp0wZ/f38aNmxIjhw5Pm4PDw9XO26q4O7uTp8+fejXrx/+/v5qx0lyv/32G7t27WLNmjUUKFBA7ThC/IOsIQu9cP36dbZu3cqWLVvw9/fn/9q7+6Coyr4P4N+zLOjy0iK6LgGLSqb5LgMqZWoJKiGwlOYbpFZkMqlpluPUyCh461ONZQ4lPjROzzirBiYuopSijS/JhISY8aShE8SLJhuy4N6AC3uePxz2iRtM1F32AN/PDH9wrnP2/NZx+M4513XOTxRFhISEQKvVIjo6Gk899RQfSbETs9mM559/HqWlpSgsLMTAgQO75LxdPYd8/PhxzJo1C4mJiXyNKHUpziFTtzJs2DC8++67OHPmDG7cuIHdu3dDrVYjKSkJI0eOxPDhw/Hee+/hzJkznHe2sdYmFGazGbGxsT3y37eiogKLFi3CjBkzsGHDBkeXQ9QhBjJJjkqlwtKlS5GZmQmDwYDDhw9j2rRp2LNnD6ZOnQpvb2+8+uqryMzMhMlkcnS5PYKvry/27duHkydPYtOmTY4ux6Zam0YoFArodDo4OTk5uiSiDjGQSdIUCgUiIyORlpaGqqoq5OXlIT4+Hvn5+XjppZfQv39/6/j169cdXW63Nn36dCQnJyM5ORk5OTmOLsdm1q1bh4KCAmRkZLBpBEkaA5m6DZlMhpCQEGzduhXFxcUoKSnBli1bUF9fj+XLl8PHx6fNeG96lMdW1q9fj9mzZyMuLg5lZWWOLueRpaen47PPPsMnn3yCSZMmObocon/ERV3UI/z11184cuQI9Ho9vvvuO5hMJjzxxBPWRWGTJ0+GXC53dJndQk1NDYKCguzehMLei7pam0ZERkZi7969XBRIDsNFXdSr9O/fH4sXL8Y333wDg8GAI0eOICwsDPv27cNzzz0HtVptHb99+7ajy5U0Ly8vZGRk4Oeff8aaNWscXc5DMZlMmDt3Lvz8/JCWlsYwpm6BgUw9Tt++fREREYHU1FRUVFTgxx9/REJCAi5cuIC5c+eif//+iIiIwK5du1BVVeXociUpODgYO3bswM6dO6HT6RxdzgNpbRpRWlrKphHUrTCQqUeTyWSYOHEiNm/ejEuXLuHatWv48MMP0dDQgLfeegu+vr5txjnv/P+WLVuGV155BcuWLUNxcbGjy+m0Xbt2QafTIS0tDSNHjnR0OUSdxjlk6rVqampw9OhRZGVlIScnB7dv38aQIUOsTTCeffZZODs7O7pMhzKZTAgJCYHZbLZ5Ewp7zCEXFBRg8uTJeOONN5CSkmKzzyV6FJxDJroPLy8vxMXFIT09HQaDATk5OQgPD8eBAwcwffp0qNVqxMXFISMjA3V1dY4u1yHc3NysTSji4+MlfQehtWnE+PHj2TSCuiUGMhGAPn36IDw8HF988QXKy8tRUFCAFStW4NKlS5g3bx5UKhXCw8Oxc+dOVFRUOLrcLjV8+HDs3r0b6enpkm1V2No0or6+Hunp6XZbGU5kTwxkov8gCAKCgoKQlJSEixcv4vfff8fHH38Ms9mMlStXQqPRIDg42Dou5atGW5k7dy5Wr16NtWvXIi8vz9HltLNlyxZr04hBgwY5uhyih8JAJrqPwYMHY9WqVThx4gSqq6uh0+kwdOhQbNu2DePHj8eQIUOs42az2dHl2s1HH32EiRMnYt68eaiurnZ0OVa5ublITEzEhg0bEB4e7uhyiB4aA5noAfTr1w+LFi3C/v37UV1djWPHjiEyMhKHDh1CWFgYVCqVddxoNDq6XJtydnZGeno6mpqaJNOEoqKiAgsXLsSMGTOQmJjo6HKIHgkDmeghubi4YMaMGUhJSUFZWRkKCwuxevVqXL58GQsXLoRKpcLMmTORkpKCP/74w9Hl2kRrE4rc3FwkJSU5tBaz2Yz58+ejb9++bBpBPQIDmcgGBEFAYGAgNm7ciMLCQpSVlVkf51mzZg0GDRrUZrw7zzuHhoYiKSkJycnJ+Pbbbx1Wx7p165Cfn8+mEdRjMJCJ7MDf3x8rVqzAsWPHYDAYsH//fowYMQLbt29HUFAQBg0aZB2/c+eOo8t9YO+//z5eeOEFxMbGOqQJRUZGBrZv345t27YhJCSky89PZA8MZCI7UyqVmD9/Pvbu3YubN28iNzcXMTExOHz4MGbNmgWVSoUFCxZg7969qK2tdXS5nSKTybBnzx54eHjg5ZdfRlNTU5ed+8qVK3jttdcwb948rFy5ssvOS2RvDGSiLuTi4oLQ0FDs2LEDpaWlKCoqwtq1a3H16lXExsZCpVK1GZcyLy8vHDhwABcvXsQ777zTJec0mUyYM2cO/Pz88OWXX7JpBPUofHUmkURUVFTg8OHD0Ov1OHnyJMxmM8aOHWttIRkUFCTJAEpNTUVCQgJ0Oh0WLVr0j/uWlZUhOzsbAJCcnIyRI0dizpw5UCgUWLBgAVxdXe95rCiKWLx4MQ4ePIj8/HyMGjXKpt+DyF46naFiJxiNRhGAaDQaO7M7ET0io9Eopqeni7GxsaKnp6cIQPT19RWXL18u5uTkiI2NjY4u0cpisYhxcXGiq6urWFxc/I/7btq0SQQgCoIgAmjzk5+f/4/HpqamigBEnU5ny/KJ7K6zGcorZCKJM5vNOHv2LPR6PfR6PUpLS+Hu7o7w8HBotVpERETAy8vLoTWaTCZMmjQJLS0tyM/Ph0KhwI4dOzB27FiEhYVZ9ysvL0dAQACam5ut22QyGUaPHo2ioqI2dwBSUlIQEBCAiIgIa9OI+Ph4fP7551363YgeVWczlIFM1I2IoohffvkFWVlZ0Ov1OH/+PJycnDBlyhTrre2AgACH1HblyhUEBwcjNDQUt27dwunTpxEaGorc3Nw2+yUkJCAtLa3Ni0WysrIQFRVl/b2xsRHu7u5oaWnB22+/jczMTKjVapw5c4bvqaZuh4FM1AtUVlYiOzsber0eJ06cwJ07dzB69GhrOAcHB0Mm67q1m8nJyUhMTIRMJoPFYoGnpydqamraXPn+/SpZEASMGTOm3dVxQUEBJkyYYP1dLpfj3LlzbbYRdRdsv0jUC/j6+uLNN9/E0aNHYTAYcODAAQQGBmLnzp2YNGkS/Pz8rOONjY12reXTTz/Fxo0bIQgCLBYLAKC2trZddyyNRoP4+HgAd6/4N2/e3G6xWmFhYZttFosFs2fPxtmzZ+36HYgciVfIRD1Qc3MzfvjhB+ut7WvXrsHNzQ2zZs2yzjvb8u1WdXV1GDBgQIfNNQ4dOgStVttmW3l5Ofz9/TFgwADcvHmzXSB3dFsbAKZOnYpTp07ZrG6irsArZKJeTC6XY9q0adi2bRtKSkpQXFyMDz74AJWVlViyZAnUarV1/OrVq498vsceewznz5/HnDlzIAhCm/dK//TTT+3212g02Lx5M3Q6XYePcp09e9YaxjKZDAqFAuvXr0dGRsYj10okVbxCJuplbty4YX3eOTc3F01NTRgxYgS0Wi20Wi0mTpz4SPPOv/76K7Zs2QKdTgdRFDF8+HBcvnzZOl5cZUTmhUrcqGuEqakZbn3k8H6sL14M9MUoHyWam5vh4uICURTh7u6OtWvXYtWqVQ5fSU70sLioi4juy2Qy4dixY8jKykJ2djYMBgPUajWioqKg1WoRGhoKhUJxz+NLSkrg7e0NDw+PdmPXrl3D0qVLoVAokH30Wxy5VIWvzpXiYoURcpkAiyjCIgIyAZAJApotIsb5KfHKJH+8/eKziImOwtatW/k3h7o9BjIRPZCWlhacO3fOOu9cUlICV1dXzJw5E9HR0YiMjIRKpbLu39DQAJVKBY1Gg++//x7e3t4dfu4t0x289j/ncaG8FjIBsPztL47x3NeoPb0HzgP84RP/hXU8UOOJ3UsmoJ+bi72/NpHdMZCJ6KGJoogrV65Ar9cjKysLeXl5EAQBzzzzDKKjo6HVavHbb78hKioKTk5O0Gg0OHXqFPz9/dt8To3pDl7a+QPKbzWgxdL2T01znQFVaW8CECBXDoRP/BfWMSeZAE0/BTITJjOUqdtjIBORzfz555/Izs5GVlYWjh8/joaGBiiVStTX18NisUAul2PgwIE4deoUhg4dCgC402zB/P/Ow8+VxnZhDADV+g9h+bcRosUCS0Ndm0AG7obyWF8lvl72NFzkXH9K3RdXWRORzajVarz++uvQ6/UwGAw4ePAgGhsbrc8bNzc34/r16wgKCkJBQQEA4MilKlwor+0wjBv/+AX/vvwD+oUuu+c5WywiLpTX4uil6/b5UkQSw0Amogfi6uqKxx9/vF0PZFEUUVdXhylTpgAAvjpXClkHzalESwtqjqfCfdxMuAwc/I/nkgnAV3mlNqqcSNrkji6AiLqfv78xSy6XIyAgAOPGjYO3tzeCgoLwS5URFyuMHR57+0IOmuuqoV74r/uexyICReW1KK4yYpSP0mb1E0kRA5mIHtiSJUswdOhQDBs2DE8++SScnZ3bjG8+8r+Qy+4+yvR3LQ11qD2jg+cz8+Hk2rmAlcsEHCqqZCBTj8dAJqIHplKpEBMTc8/xG3WNsHSwXrT29B7IFO7wCI7q4KiOWUQRN4xN99+RqJtjIBORzZmamvGfa7nMNZW4XfQd+oW+gZb6Gut2scUM0dKC5to/IfRxhZOi7UtGLCJwu6n9O7KJehoGMhHZnFsfebuXgLTU/wWIFtzK3YVbubvaHVOZ+jo8gqPhFdZ25bVMANz7OLfbn6inYSATkc15P9YXMkFoc9vaWTUIqpc+aLdv7ek9sNxpgFfYMsg9H283LggCvJV97FovkRQwkInI5l4M9MWXZ39vs83JVQnXYU+327fuvB4AOhwD7j6PHDPe1/ZFEkkMn0MmIpsb5aPEOD9lh88hPwiZAIzXeHKFNfUKDGQisoulzwxut7CrI96x/9XutZmtLCKw9OnBti2MSKIYyERkF7PH+CBQ4wmnh7xMdpIJCNR4ImJM+3llop6IgUxEduEil2H3kgnQ9FM8cCi3dnvavWQCG0tQr8H/6URkN/3cXJCZMBljfe/OAd8vl1vHx/oq2XqReh2usiYiu+rn5oKvlz2No5eu46u8UhSV10Iuu/tIlEW8G8Iy4e5rNsf6eWLp04MRMeZxXhlTr8NAJiK7c5HLEBPoi5hAXxRXGXGoqBI3jE243WSGex9neCv7IGa8L1dTU6/GQCaiLjXKR8ngJeoA7wkRERFJAAOZiIhIAhjIREREEsBAJiIikgAGMhERkQQwkImIiCSAgUxERCQBDGQiIiIJYCATERFJAAOZiIhIAhjIREREEsBAJiIikgAGMhERkQQwkImIiCSAgUxERCQBDGQiIiIJYCATERFJAAOZiIhIAhjIREREEsBAJiIikgAGMhERkQQwkImIiCSAgUxERCQBDGQiIiIJYCATERFJAAOZiIhIAhjIREREEiDvzE6iKAIA6urq7FoMERFRT9Oana1Zei+dCuT6+noAgEajecSyiIiIeqf6+noolcp7jgvi/SIbgMViQVVVFTw8PCAIgk0LJCIi6slEUUR9fT18fHwgk917prhTgUxERET2xUVdREREEsBAJiIikgAGMhERkQQwkImIiCSAgUxERCQBDGQiIiIJYCATERFJwP8Bgo11XJAPG24AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 可视化图\n",
    "plt.figure(figsize = (6,6))\n",
    "edges_strongly_cc = nodes_2_edges(list_cc)\n",
    "\n",
    "pos_Gcc_idx = {k: pos[k] for k in list_cc}\n",
    "\n",
    "nx.draw_networkx(G_directed, \n",
    "                 pos = pos,\n",
    "                 with_labels = True,\n",
    "                 node_size = 188) \n",
    "\n",
    "nx.draw_networkx_nodes(G_directed,\n",
    "                       nodelist = list_cc,\n",
    "                       pos = pos_Gcc_idx,\n",
    "                       node_size = 188,\n",
    "                       node_color = 'r')\n",
    "\n",
    "nx.draw_networkx_edges(G_directed,\n",
    "                       pos = pos_Gcc_idx,\n",
    "                       edgelist = edges_strongly_cc,\n",
    "                       edge_color = 'r')\n",
    "    \n",
    "plt.savefig('强连通分量.svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "21e2950f-34b3-4092-9fc3-17b2f982a801",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 可视化有向图中3个环\n",
    "\n",
    "fig, axes = plt.subplots(1, 3, figsize = (9,3))\n",
    "\n",
    "axes = axes.flatten()\n",
    "\n",
    "for nodes_i, ax_i in zip(list_cycles, axes):\n",
    "    \n",
    "    edges_i = nodes_2_edges(nodes_i)\n",
    "    \n",
    "    nx.draw_networkx(G_directed, \n",
    "                     ax = ax_i,\n",
    "                     pos = pos,\n",
    "                     with_labels = True,\n",
    "                     node_size = 88) \n",
    "    \n",
    "    nx.draw_networkx_nodes(G_directed,\n",
    "                           ax = ax_i,\n",
    "                           nodelist = nodes_i,\n",
    "                           pos = pos,\n",
    "                           node_size = 88,\n",
    "                           node_color = 'r')\n",
    "\n",
    "    nx.draw_networkx_edges(G_directed,\n",
    "                           pos = pos,\n",
    "                           ax = ax_i,\n",
    "                           edgelist = edges_i,\n",
    "                           edge_color = 'r')\n",
    "        \n",
    "    ax_i.set_title(' → '.join(str(node) for node in nodes_i))\n",
    "    ax_i.axis('off')\n",
    "    \n",
    "plt.savefig('有向图中所有cycles.svg')  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "900ef01b-fa0f-4f80-92f5-46f4f4452559",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{0, 1, 2, 3}"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "largest = max(list_strongly_cc, key=len)\n",
    "largest"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1a149935-226f-4c2a-a840-245bfacecc0c",
   "metadata": {},
   "outputs": [],
   "source": [
    "G_directed_2 = nx.complete_graph(5, create_using = nx.DiGraph())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "a026a232-1ae2-42b3-ab61-0d581b2880db",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "489717eb-becb-4dc4-867c-48192b15b72e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 可视化图\n",
    "plt.figure(figsize = (6,6))\n",
    "nx.draw_networkx(G_directed_2, \n",
    "                 pos = pos,\n",
    "                 with_labels = True,\n",
    "                 node_size = 188) \n",
    "plt.savefig('完全图，设定边方向.svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "a9322d8f-9b67-47dc-91d1-6cd7248400b8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nx.is_strongly_connected(G_directed_2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "679efc36-e2b7-4dd7-840b-5c1036bb6920",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
